{"id":39,"date":"2024-10-10T14:46:52","date_gmt":"2024-10-10T14:46:52","guid":{"rendered":"https:\/\/blogs.uww.edu\/iancooper\/?p=39"},"modified":"2024-10-10T14:46:52","modified_gmt":"2024-10-10T14:46:52","slug":"remembering-inverse-converse-and-contrapositive-of-if-then-statements","status":"publish","type":"post","link":"https:\/\/blogs.uww.edu\/iancooper\/2024\/10\/10\/remembering-inverse-converse-and-contrapositive-of-if-then-statements\/","title":{"rendered":"Remembering Inverse, Converse, and Contrapositive of if-then Statements"},"content":{"rendered":"\n<p>If we have our statement p then q:<\/p>\n\n\n\n<p>The inverse is inverting the signs think of i as the square root of -1. You are negating each element.<\/p>\n\n\n\n<p> ~p -> ~q<\/p>\n\n\n\n<p>Converse, reverse. <\/p>\n\n\n\n<p>q -> p.<\/p>\n\n\n\n<p>Once you remember those, just remember that the contrapositive is converse and inverse combined. <\/p>\n\n\n\n<p>~q -> ~p<\/p>\n","protected":false},"excerpt":{"rendered":"<p>If we have our statement p then q: The inverse is inverting the signs think of i as the square root of -1. You are negating each element. ~p -> ~q Converse, reverse. q -> p. Once you remember those, just remember that the contrapositive is converse and inverse combined. ~q -> ~p<\/p>\n","protected":false},"author":17908,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-39","post","type-post","status-publish","format-standard","hentry","category-math"],"_links":{"self":[{"href":"https:\/\/blogs.uww.edu\/iancooper\/wp-json\/wp\/v2\/posts\/39","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.uww.edu\/iancooper\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.uww.edu\/iancooper\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.uww.edu\/iancooper\/wp-json\/wp\/v2\/users\/17908"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.uww.edu\/iancooper\/wp-json\/wp\/v2\/comments?post=39"}],"version-history":[{"count":1,"href":"https:\/\/blogs.uww.edu\/iancooper\/wp-json\/wp\/v2\/posts\/39\/revisions"}],"predecessor-version":[{"id":40,"href":"https:\/\/blogs.uww.edu\/iancooper\/wp-json\/wp\/v2\/posts\/39\/revisions\/40"}],"wp:attachment":[{"href":"https:\/\/blogs.uww.edu\/iancooper\/wp-json\/wp\/v2\/media?parent=39"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.uww.edu\/iancooper\/wp-json\/wp\/v2\/categories?post=39"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.uww.edu\/iancooper\/wp-json\/wp\/v2\/tags?post=39"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}