{"id":17385,"date":"2024-04-16T14:23:21","date_gmt":"2024-04-16T14:23:21","guid":{"rendered":"http:\/\/www.max-sperling.bplaced.net\/?p=17385"},"modified":"2024-04-16T22:20:18","modified_gmt":"2024-04-16T22:20:18","slug":"math-exercise-10-logic","status":"publish","type":"post","link":"http:\/\/www.max-sperling.bplaced.net\/?p=17385","title":{"rendered":"Math &#8211; Exercise 10 (Logic)"},"content":{"rendered":"<p><strong>Given<\/strong><\/p>\n<p>If the criminal had an accomplice, then he came with the car. [1]<br \/>\nThe criminal had no accomplice and didn&#8217;t have the key, or he had an accomplice and the key. [2]<br \/>\nThe criminal had the key. [3]<\/p>\n<hr>\n<p><strong>Find<\/strong><\/p>\n<p>Did the criminal come with the car or not?<\/p>\n<hr>\n<p><strong>Solution<\/strong><\/p>\n<p>Definition:<br \/>\nA = The criminal had an accomplice.<br \/>\nC = The criminal came with the car.<br \/>\nK = The criminal had the key.<\/p>\n<p>Representation:<br \/>\n[1]: A \u2192 C<br \/>\n[2]: (\u00acA \u2227 \u00acK) \u2228 (A \u2227 K)<br \/>\n[3]: K<\/p>\n<p>Deduction:<br \/>\n[3]: K is true.<br \/>\n[2]: If K is true, A must be true.<br \/>\n[1]: If A is true, C must be true.<\/p>\n<hr>\n<p><strong>Answer<\/strong><\/p>\n<p>The criminal came with the car.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Given If the criminal had an accomplice, then he came with the car. [1] The criminal had no accomplice and<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false},"categories":[47],"tags":[],"_links":{"self":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/17385"}],"collection":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=17385"}],"version-history":[{"count":24,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/17385\/revisions"}],"predecessor-version":[{"id":17414,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=\/wp\/v2\/posts\/17385\/revisions\/17414"}],"wp:attachment":[{"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17385"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17385"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.max-sperling.bplaced.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17385"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}