{"id":25,"date":"2025-01-02T23:02:27","date_gmt":"2025-01-02T23:02:27","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/set-theory-and-logic-get-stronger-final-answer-key\/"},"modified":"2025-01-02T23:02:27","modified_gmt":"2025-01-02T23:02:27","slug":"set-theory-and-logic-get-stronger-final-answer-key","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/chapter\/set-theory-and-logic-get-stronger-final-answer-key\/","title":{"raw":"Set Theory and Logic: Get Stronger Final Answer Key","rendered":"Set Theory and Logic: Get Stronger Final Answer Key"},"content":{"raw":"\n<ol style=\"list-style-type: decimal;\">\n\t<li>{m,i,s,p}<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>One possibility is: Multiples of [latex]3[\/latex] between [latex]1[\/latex] and [latex]10[\/latex]<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>Yes<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>True<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>True<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>False<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>A\u222aB={[latex]1,2,3,4,5[\/latex]}<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>A\u2229C={[latex]4[\/latex]}<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>A^(c)={[latex]6,7,8,9,10[\/latex]}<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>D^(c)\u2229E={t,s}<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>[latex](D \\cap E) \\cup F=\\{\\mathrm{k}, \\mathrm{b}, \\mathrm{a}, \\mathrm{t}, \\mathrm{h}\\}[\/latex]<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>[latex](F \\cap E)^{c} \\cap D=\\{\\mathrm{b}, \\mathrm{C}, \\mathrm{k}\\}[\/latex]<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>&nbsp;<img class=\"internal\" src=\"https:\/\/math.libretexts.org\/@api\/deki\/files\/45477\/clipboard_e8d3b9f3516f3be2cfbf94e124457a31a.png?revision=1\" alt=\"clipboard_e8d3b9f3516f3be2cfbf94e124457a31a.png\"><\/li>\n\t<li>&nbsp;<\/li>\n\t<li><img class=\"internal\" src=\"https:\/\/math.libretexts.org\/@api\/deki\/files\/45478\/clipboard_e87196bcad6b5b4aca23490b860387fd6.png?revision=1\" alt=\"clipboard_e87196bcad6b5b4aca23490b860387fd6.png\"><\/li>\n\t<li>&nbsp;<\/li>\n\t<li>One possible answer: [latex](A \\cap B) \\cup(B \\cap C)[\/latex]&nbsp;<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>[latex]\\left(A \\cap B^{2}\\right) \\cup C&nbsp;[\/latex]<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>[latex]5[\/latex]&nbsp;<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>[latex]6[\/latex]&nbsp;<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>[latex]\\mathrm{n}(A \\cap C)=5&nbsp;[\/latex]<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>[latex]\\mathrm{n}(A \\cap B \\cap C)=3&nbsp;[\/latex]<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>[latex]\\mathrm{n}(G \\cup H)=45&nbsp;[\/latex]<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>[latex]136[\/latex] use Redbox&nbsp;<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>&nbsp;<img class=\"internal\" src=\"https:\/\/math.libretexts.org\/@api\/deki\/files\/45486\/clipboard_e1419de5ff10acf22efba5e760a0dea99.png?revision=1\" alt=\"clipboard_e1419de5ff10acf22efba5e760a0dea99.png\"><br>\n<p class=\"lt-math-41807\">a) [latex]8[\/latex] had seen exactly one b) [latex]6[\/latex] had only seen SW<\/p>\n<footer class=\"mt-content-footer\"><\/footer>\n<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>&nbsp;[latex]\\{5,15,25, \\ldots\\}[\/latex]<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>At least one person did not fail the quiz today.<\/li>\n\t<li>&nbsp;<\/li>\n\t<li>\n<ol style=\"list-style-type: lower-alpha;\">\n\t<li class=\"lt-math-41811\">Elvis is alive or did not gain weight.<\/li>\n\t<li class=\"lt-math-41811\">It is not the case that Elvis is alive and gained weight.<\/li>\n\t<li class=\"lt-math-41811\">If Elvis gained weight, then he is not alive.<\/li>\n\t<li class=\"lt-math-41811\">Elvis is alive if and only if he did not gain weight.<\/li>\n<\/ol>\n<\/li>\n<li>&nbsp;<\/li>\n\t<li>\n<math><mtable columnalign=\"center center center center center\" rowspacing=\"4pt\" columnspacing=\"1em\" rowlines=\"solid solid solid solid\" columnlines=\"solid solid solid solid\" frame=\"solid\"><mtr><mtd><mi>A<\/mi><\/mtd><mtd><mi>B<\/mi><\/mtd><mtd><mo>\u223c<!-- \u223c --><\/mo><mi>A<\/mi><\/mtd><mtd><mo>\u223c<!-- \u223c --><\/mo><mi>A<\/mi><mo>\u2228<!-- \u2228 --><\/mo><mi>B<\/mi><\/mtd><mtd><mo>\u223c<!-- \u223c --><\/mo><mo stretchy=\"false\">(<\/mo><mo>\u223c<!-- \u223c --><\/mo><mi>A<\/mi><mo>\u2228<!-- \u2228 --><\/mo><mi>B<\/mi><mo stretchy=\"false\">)<\/mo><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><\/mtable><\/math>\n<\/li>\n<li>&nbsp;<\/li>\n\t<li>\n<math><mtable columnalign=\"center center center center center center\" rowspacing=\"4pt\" columnspacing=\"1em\" rowlines=\"solid solid solid solid solid solid solid solid\" columnlines=\"solid solid solid solid solid\" frame=\"solid\"><mtr><mtd><mi>A<\/mi><\/mtd><mtd><mi>B<\/mi><\/mtd><mtd><mi>C<\/mi><\/mtd><mtd><mi>A<\/mi><mo>\u2228<!-- \u2228 --><\/mo><mi>B<\/mi><\/mtd><mtd><mo>\u223c<!-- \u223c --><\/mo><mi>C<\/mi><\/mtd><mtd><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo>\u2228<!-- \u2228 --><\/mo><mi>B<\/mi><mo stretchy=\"false\">)<\/mo><mo stretchy=\"false\">\u2192<!-- \u2192 -->\u223c<!-- \u223c --><\/mo><mi>C<\/mi><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><\/mtable><\/math>\n<\/li>\n<li>&nbsp;<\/li>\n\t<li>\n<math><mtable columnalign=\"center center center\" rowspacing=\"4pt\" columnspacing=\"1em\" rowlines=\"solid solid solid solid\" columnlines=\"solid solid\" frame=\"solid\"><mtr><mtd><mi>A<\/mi><\/mtd><mtd><mi>B<\/mi><\/mtd><mtd><mi>A<\/mi><mo>\u2228<!-- \u2228 --><\/mo><mi>B<\/mi><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><\/mtable><\/math>\n<\/li>\n<li>&nbsp;<\/li>\n\t<li>The results are identical; the exclusive or translates to \"&nbsp;<span id=\"MathJax-Element-28-Frame\" class=\"MathJax\" style=\"display: inline-table; font-style: normal; font-weight: normal; line-height: normal; font-size: 17.6px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"<math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;><mrow><mo>(<\/mo><mi>A<\/mi><mtext>&amp;#xA0;or&amp;#xA0;<\/mtext><mi>B<\/mi><mtext>&amp;#xA0;) and not&amp;#xA0;<\/mtext><mo stretchy=&quot;false&quot;>(<\/mo><mi>A<\/mi><mtext>&amp;#xA0;and&amp;#xA0;<\/mtext><mi>B<\/mi><msup><mo stretchy=&quot;false&quot;>)<\/mo><mrow class=&quot;MJX-TeXAtom-ORD&quot;><mi class=&quot;MJX-variant&quot; mathvariant=&quot;normal&quot;>&amp;#x2032;<\/mi><mi class=&quot;MJX-variant&quot; mathvariant=&quot;normal&quot;>&amp;#x2032;<\/mi><\/mrow><\/msup><mo fence=&quot;true&quot; stretchy=&quot;true&quot; symmetric=&quot;true&quot;><\/mo><\/mrow><\/math>\"><span id=\"MathJax-Span-530\" class=\"math\"><span id=\"MathJax-Span-531\" class=\"mrow\"><span id=\"MathJax-Span-532\" class=\"mrow\"><span id=\"MathJax-Span-533\" class=\"mo\">(<\/span><span id=\"MathJax-Span-534\" class=\"mi\">A<\/span><span id=\"MathJax-Span-535\" class=\"mtext\">&nbsp;or&nbsp;<\/span><span id=\"MathJax-Span-536\" class=\"mi\">B<\/span><span id=\"MathJax-Span-537\" class=\"mtext\">&nbsp;) and not&nbsp;<\/span><span id=\"MathJax-Span-538\" class=\"mo\">(<\/span><span id=\"MathJax-Span-539\" class=\"mi\">A<\/span><span id=\"MathJax-Span-540\" class=\"mtext\">&nbsp;and&nbsp;<\/span><span id=\"MathJax-Span-541\" class=\"mi\">B)\".<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>&nbsp;<\/li>\n\t<li>\n<ol style=\"list-style-type: lower-alpha;\">\n\t<li class=\"lt-math-41811\">Not necessarily true; this is the inverse. You could get your mouth washed out for some other reason.<\/li>\n\t<li class=\"lt-math-41811\">True; this is the contrapositive.<\/li>\n\t<li class=\"lt-math-41811\">Not necessarily true; this is the converse. You could get your mouth washed out for some other reason.<\/li>\n<\/ol>\n<\/li>\n<li>&nbsp;<\/li>\n\t<li>Luke faces Vader and Obi-Wan interferes.<\/li>\n<li>&nbsp;<\/li>\n\t<li>\n<ol style=\"list-style-type: lower-alpha;\">\n\n\t<li class=\"lt-math-41811\">This couldn\u2019t happen; you fulfilled your part of the bargain but your coach didn\u2019t.<\/li>\n\t<li class=\"lt-math-41811\">This couldn\u2019t happen; you didn\u2019t fulfill your part of the bargain but your coach let you play anyway. This could happen with a conditional statement, but not a biconditional.<\/li>\n\t<li class=\"lt-math-41811\">This could happen; practice = play, no practice = no play.<\/li>\n<\/ol>\n<\/li>\n<li>&nbsp;<\/li>\n\t<li>You don\u2019t need a dated receipt or you don\u2019t need your credit card to return this item.<\/li>\n\t<li>Valid, by the law of contraposition.<\/li>\n<li>&nbsp;<\/li>\n\t<li>Valid, by disjunctive syllogism.<\/li>\n<li>&nbsp;<\/li>\n\t<li style=\"text-align: left;\">Invalid; we are using the inclusive or, so the sets of people with a pencil and people with a pen could possibly overlap. Marcie might be in the intersection of the two sets.<\/li>\n<li>&nbsp;<\/li>\n\t<li>False dilemma; you could fly, take a bus, hitchhike\u2026<\/li>\n<li>&nbsp;<\/li>\n\t<li>Correlation implies causation; maybe the only time our smoke detector goes off is when I burn dinner, and the kids choose to eat cereal whenever I burn dinner.<\/li>\n<\/ol>\n\n","rendered":"<ol style=\"list-style-type: decimal;\">\n<li>{m,i,s,p}<\/li>\n<li>&nbsp;<\/li>\n<li>One possibility is: Multiples of [latex]3[\/latex] between [latex]1[\/latex] and [latex]10[\/latex]<\/li>\n<li>&nbsp;<\/li>\n<li>Yes<\/li>\n<li>&nbsp;<\/li>\n<li>True<\/li>\n<li>&nbsp;<\/li>\n<li>True<\/li>\n<li>&nbsp;<\/li>\n<li>False<\/li>\n<li>&nbsp;<\/li>\n<li>A\u222aB={[latex]1,2,3,4,5[\/latex]}<\/li>\n<li>&nbsp;<\/li>\n<li>A\u2229C={[latex]4[\/latex]}<\/li>\n<li>&nbsp;<\/li>\n<li>A^(c)={[latex]6,7,8,9,10[\/latex]}<\/li>\n<li>&nbsp;<\/li>\n<li>D^(c)\u2229E={t,s}<\/li>\n<li>&nbsp;<\/li>\n<li>[latex](D \\cap E) \\cup F=\\{\\mathrm{k}, \\mathrm{b}, \\mathrm{a}, \\mathrm{t}, \\mathrm{h}\\}[\/latex]<\/li>\n<li>&nbsp;<\/li>\n<li>[latex](F \\cap E)^{c} \\cap D=\\{\\mathrm{b}, \\mathrm{C}, \\mathrm{k}\\}[\/latex]<\/li>\n<li>&nbsp;<\/li>\n<li>&nbsp;<img decoding=\"async\" class=\"internal\" src=\"https:\/\/math.libretexts.org\/@api\/deki\/files\/45477\/clipboard_e8d3b9f3516f3be2cfbf94e124457a31a.png?revision=1\" alt=\"clipboard_e8d3b9f3516f3be2cfbf94e124457a31a.png\" \/><\/li>\n<li>&nbsp;<\/li>\n<li><img decoding=\"async\" class=\"internal\" src=\"https:\/\/math.libretexts.org\/@api\/deki\/files\/45478\/clipboard_e87196bcad6b5b4aca23490b860387fd6.png?revision=1\" alt=\"clipboard_e87196bcad6b5b4aca23490b860387fd6.png\" \/><\/li>\n<li>&nbsp;<\/li>\n<li>One possible answer: [latex](A \\cap B) \\cup(B \\cap C)[\/latex]&nbsp;<\/li>\n<li>&nbsp;<\/li>\n<li>[latex]\\left(A \\cap B^{2}\\right) \\cup C&nbsp;[\/latex]<\/li>\n<li>&nbsp;<\/li>\n<li>[latex]5[\/latex]&nbsp;<\/li>\n<li>&nbsp;<\/li>\n<li>[latex]6[\/latex]&nbsp;<\/li>\n<li>&nbsp;<\/li>\n<li>[latex]\\mathrm{n}(A \\cap C)=5&nbsp;[\/latex]<\/li>\n<li>&nbsp;<\/li>\n<li>[latex]\\mathrm{n}(A \\cap B \\cap C)=3&nbsp;[\/latex]<\/li>\n<li>&nbsp;<\/li>\n<li>[latex]\\mathrm{n}(G \\cup H)=45&nbsp;[\/latex]<\/li>\n<li>&nbsp;<\/li>\n<li>[latex]136[\/latex] use Redbox&nbsp;<\/li>\n<li>&nbsp;<\/li>\n<li>&nbsp;<img decoding=\"async\" class=\"internal\" src=\"https:\/\/math.libretexts.org\/@api\/deki\/files\/45486\/clipboard_e1419de5ff10acf22efba5e760a0dea99.png?revision=1\" alt=\"clipboard_e1419de5ff10acf22efba5e760a0dea99.png\" \/>\n<p class=\"lt-math-41807\">a) [latex]8[\/latex] had seen exactly one b) [latex]6[\/latex] had only seen SW<\/p>\n<footer class=\"mt-content-footer\"><\/footer>\n<\/li>\n<li>&nbsp;<\/li>\n<li>&nbsp;[latex]\\{5,15,25, \\ldots\\}[\/latex]<\/li>\n<li>&nbsp;<\/li>\n<li>At least one person did not fail the quiz today.<\/li>\n<li>&nbsp;<\/li>\n<li>\n<ol style=\"list-style-type: lower-alpha;\">\n<li class=\"lt-math-41811\">Elvis is alive or did not gain weight.<\/li>\n<li class=\"lt-math-41811\">It is not the case that Elvis is alive and gained weight.<\/li>\n<li class=\"lt-math-41811\">If Elvis gained weight, then he is not alive.<\/li>\n<li class=\"lt-math-41811\">Elvis is alive if and only if he did not gain weight.<\/li>\n<\/ol>\n<\/li>\n<li>&nbsp;<\/li>\n<li>\n<math><mtable columnalign=\"center center center center center\" rowspacing=\"4pt\" columnspacing=\"1em\" rowlines=\"solid solid solid solid\" columnlines=\"solid solid solid solid\" frame=\"solid\"><mtr><mtd><mi>A<\/mi><\/mtd><mtd><mi>B<\/mi><\/mtd><mtd><mo>\u223c<!-- \u223c --><\/mo><mi>A<\/mi><\/mtd><mtd><mo>\u223c<!-- \u223c --><\/mo><mi>A<\/mi><mo>\u2228<!-- \u2228 --><\/mo><mi>B<\/mi><\/mtd><mtd><mo>\u223c<!-- \u223c --><\/mo><mo stretchy=\"false\">(<\/mo><mo>\u223c<!-- \u223c --><\/mo><mi>A<\/mi><mo>\u2228<!-- \u2228 --><\/mo><mi>B<\/mi><mo stretchy=\"false\">)<\/mo><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><\/mtable><\/math>\n<\/li>\n<li>&nbsp;<\/li>\n<li>\n<math><mtable columnalign=\"center center center center center center\" rowspacing=\"4pt\" columnspacing=\"1em\" rowlines=\"solid solid solid solid solid solid solid solid\" columnlines=\"solid solid solid solid solid\" frame=\"solid\"><mtr><mtd><mi>A<\/mi><\/mtd><mtd><mi>B<\/mi><\/mtd><mtd><mi>C<\/mi><\/mtd><mtd><mi>A<\/mi><mo>\u2228<!-- \u2228 --><\/mo><mi>B<\/mi><\/mtd><mtd><mo>\u223c<!-- \u223c --><\/mo><mi>C<\/mi><\/mtd><mtd><mo stretchy=\"false\">(<\/mo><mi>A<\/mi><mo>\u2228<!-- \u2228 --><\/mo><mi>B<\/mi><mo stretchy=\"false\">)<\/mo><mo stretchy=\"false\">\u2192<!-- \u2192 -->\u223c<!-- \u223c --><\/mo><mi>C<\/mi><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><\/mtable><\/math>\n<\/li>\n<li>&nbsp;<\/li>\n<li>\n<math><mtable columnalign=\"center center center\" rowspacing=\"4pt\" columnspacing=\"1em\" rowlines=\"solid solid solid solid\" columnlines=\"solid solid\" frame=\"solid\"><mtr><mtd><mi>A<\/mi><\/mtd><mtd><mi>B<\/mi><\/mtd><mtd><mi>A<\/mi><mo>\u2228<!-- \u2228 --><\/mo><mi>B<\/mi><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">T<\/mi><\/mrow><\/mtd><\/mtr><mtr><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><mtd><mrow class=\"MJX-TeXAtom-ORD\"><mi mathvariant=\"normal\">F<\/mi><\/mrow><\/mtd><\/mtr><\/mtable><\/math>\n<\/li>\n<li>&nbsp;<\/li>\n<li>The results are identical; the exclusive or translates to &#8221;&nbsp;<span id=\"MathJax-Element-28-Frame\" class=\"MathJax\" style=\"display: inline-table; font-style: normal; font-weight: normal; line-height: normal; font-size: 17.6px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;\" tabindex=\"0\" role=\"presentation\"><span id=\"MathJax-Span-530\" class=\"math\"><span id=\"MathJax-Span-531\" class=\"mrow\"><span id=\"MathJax-Span-532\" class=\"mrow\"><span id=\"MathJax-Span-533\" class=\"mo\">(<\/span><span id=\"MathJax-Span-534\" class=\"mi\">A<\/span><span id=\"MathJax-Span-535\" class=\"mtext\">&nbsp;or&nbsp;<\/span><span id=\"MathJax-Span-536\" class=\"mi\">B<\/span><span id=\"MathJax-Span-537\" class=\"mtext\">&nbsp;) and not&nbsp;<\/span><span id=\"MathJax-Span-538\" class=\"mo\">(<\/span><span id=\"MathJax-Span-539\" class=\"mi\">A<\/span><span id=\"MathJax-Span-540\" class=\"mtext\">&nbsp;and&nbsp;<\/span><span id=\"MathJax-Span-541\" class=\"mi\">B)&#8221;.<\/span><\/span><\/span><\/span><\/span><\/li>\n<li>&nbsp;<\/li>\n<li>\n<ol style=\"list-style-type: lower-alpha;\">\n<li class=\"lt-math-41811\">Not necessarily true; this is the inverse. You could get your mouth washed out for some other reason.<\/li>\n<li class=\"lt-math-41811\">True; this is the contrapositive.<\/li>\n<li class=\"lt-math-41811\">Not necessarily true; this is the converse. You could get your mouth washed out for some other reason.<\/li>\n<\/ol>\n<\/li>\n<li>&nbsp;<\/li>\n<li>Luke faces Vader and Obi-Wan interferes.<\/li>\n<li>&nbsp;<\/li>\n<li>\n<ol style=\"list-style-type: lower-alpha;\">\n<li class=\"lt-math-41811\">This couldn\u2019t happen; you fulfilled your part of the bargain but your coach didn\u2019t.<\/li>\n<li class=\"lt-math-41811\">This couldn\u2019t happen; you didn\u2019t fulfill your part of the bargain but your coach let you play anyway. This could happen with a conditional statement, but not a biconditional.<\/li>\n<li class=\"lt-math-41811\">This could happen; practice = play, no practice = no play.<\/li>\n<\/ol>\n<\/li>\n<li>&nbsp;<\/li>\n<li>You don\u2019t need a dated receipt or you don\u2019t need your credit card to return this item.<\/li>\n<li>Valid, by the law of contraposition.<\/li>\n<li>&nbsp;<\/li>\n<li>Valid, by disjunctive syllogism.<\/li>\n<li>&nbsp;<\/li>\n<li style=\"text-align: left;\">Invalid; we are using the inclusive or, so the sets of people with a pencil and people with a pen could possibly overlap. Marcie might be in the intersection of the two sets.<\/li>\n<li>&nbsp;<\/li>\n<li>False dilemma; you could fly, take a bus, hitchhike\u2026<\/li>\n<li>&nbsp;<\/li>\n<li>Correlation implies causation; maybe the only time our smoke detector goes off is when I burn dinner, and the kids choose to eat cereal whenever I burn dinner.<\/li>\n<\/ol>\n","protected":false},"author":6,"menu_order":2,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":3,"module-header":"","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/25"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":0,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/25\/revisions"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapters\/25\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/media?parent=25"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/pressbooks\/v2\/chapter-type?post=25"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/contributor?post=25"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/qrpracticepages\/wp-json\/wp\/v2\/license?post=25"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}