{"id":433,"date":"2022-04-13T10:58:55","date_gmt":"2022-04-13T10:58:55","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=433"},"modified":"2025-04-08T11:19:11","modified_gmt":"2025-04-08T11:19:11","slug":"w-7-converses-inverses-and-contra-positives","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/w-7-converses-inverses-and-contra-positives\/","title":{"rendered":"W.7 Converses, inverses and contra positives"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Converses, inverses and contra positives<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-f79afd6ea8b322268468366b8e5f7cc7\" style=\"color:#74008b\"><strong>Key Notes:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<ul class=\"wp-block-list\">\n<li>A&nbsp;<strong>conditional&nbsp;statement<\/strong>&nbsp;can be written as&nbsp;<strong>If<\/strong>&nbsp;A<strong>,&nbsp;then<\/strong>&nbsp;B.&nbsp;<em>A<\/em>&nbsp;is the&nbsp;<strong>hypothesis<\/strong>&nbsp;and&nbsp;<em>B<\/em>&nbsp;is the&nbsp;<strong>conclusion<\/strong>.<\/li>\n\n\n\n<li>The&nbsp;<strong>converse<\/strong>&nbsp;of the conditional&nbsp;<strong>If<\/strong>&nbsp;A<strong>,&nbsp;then<\/strong>&nbsp;B&nbsp;is&nbsp;<strong>If<\/strong>&nbsp;B<strong>,&nbsp;then<\/strong>&nbsp;A.&nbsp;The hypothesis and conclusion are&nbsp;switched.<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f8c1c1\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-f25af0ecbf2ece7630697dc6f404c424\" style=\"color:#b00012\"> \ud83d\udcd6<strong> What&nbsp;is the converse of the following&nbsp;conditional?<\/strong><\/p>\n\n\n\n<p>\ud83d\udcd6 If&nbsp;Gregory&nbsp;is going to take a lot of&nbsp;notes,&nbsp;then&nbsp;English&nbsp;class is&nbsp;next.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If&nbsp;English&nbsp;class is&nbsp;next,&nbsp;then&nbsp;Gregory&nbsp;is going to take a lot of&nbsp;notes.<\/li>\n\n\n\n<li>If&nbsp;Gregory&nbsp;is not going to take a lot of&nbsp;notes,&nbsp;then&nbsp;English&nbsp;class is not&nbsp;next.<\/li>\n\n\n\n<li>If&nbsp;English&nbsp;class is not&nbsp;next,&nbsp;then&nbsp;Gregory&nbsp;is not going to take a lot of&nbsp;notes.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<ul class=\"wp-block-list\">\n<li>To&nbsp;find the converse of the given conditional, switch the order of the hypothesis and&nbsp;conclusion.<\/li>\n\n\n\n<li>If&nbsp;<strong>Gregory&nbsp;is going to take a lot of&nbsp;notes<\/strong>,&nbsp;then&nbsp;<strong>English&nbsp;class is&nbsp;next<\/strong>.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/in.ixl.com\/qgen_res\/math\/arrows\/Black_implies_down_arrow.gif\" alt=\"\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>If&nbsp;<strong>English&nbsp;class is&nbsp;next<\/strong>,&nbsp;then&nbsp;<strong>Gregory&nbsp;is going to take a lot of&nbsp;notes<\/strong>.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#b0edc8\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-62547d915e320ac5ee33cf0026707ca3\" style=\"color:#b00012\">\ud83d\udcd6 <strong>What&nbsp;is the contrapositive of the following&nbsp;conditional?<\/strong><\/p>\n\n\n\n<p>\ud83d\udcd6 If&nbsp;Miranda&nbsp;is going to buy candy&nbsp;floss,&nbsp;then&nbsp;she&nbsp;is going to Harriet&#8217;s candy&nbsp;shop.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If&nbsp;Miranda&nbsp;is not going to Harriet&#8217;s candy&nbsp;shop,&nbsp;then&nbsp;she&nbsp;is not going to buy candy&nbsp;floss.<\/li>\n\n\n\n<li>If&nbsp;Miranda&nbsp;is not going to buy candy&nbsp;floss,&nbsp;then&nbsp;Miranda&nbsp;is not going to Harriet&#8217;s candy&nbsp;shop.<\/li>\n\n\n\n<li>If&nbsp;Miranda&nbsp;is going to Harriet&#8217;s candy&nbsp;shop,&nbsp;then&nbsp;she&nbsp;is going to buy candy&nbsp;floss.<br><\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To&nbsp;find the contrapositive of the given conditional, switch the order of the hypothesis and conclusion and negate them&nbsp;both.<\/li>\n\n\n\n<li>If&nbsp;<strong>Miranda&nbsp;is going to buy candy&nbsp;floss<\/strong>,&nbsp;then&nbsp;<strong>she&nbsp;is going to Harriet&#8217;s candy&nbsp;shop<\/strong>.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image is-resized\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/in.ixl.com\/qgen_res\/math\/arrows\/Black_implies_down_arrow.gif\" alt=\"\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>If&nbsp;<strong>Miranda&nbsp;is not going to Harriet&#8217;s candy&nbsp;shop<\/strong>,&nbsp;then&nbsp;<strong>she&nbsp;is not going to buy candy&nbsp;floss<\/strong>.<\/li>\n<\/ul>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f8f6b5\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-text-color has-link-color wp-elements-3cdd5df1ccc8321383aa2285d719d6b1\" style=\"color:#b00012\"> \ud83d\udcd6 <strong>What&nbsp;is the contrapositive of the following&nbsp;conditional?<\/strong><\/p>\n\n\n\n<p> \ud83d\udcd6 If&nbsp;Miranda&nbsp;is playing wall&nbsp;ball,&nbsp;then&nbsp;it&nbsp;is&nbsp;recess.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>If&nbsp;Miranda&nbsp;is not playing wall&nbsp;ball,&nbsp;then&nbsp;it&nbsp;is not&nbsp;recess.<\/li>\n\n\n\n<li>If&nbsp;it&nbsp;is&nbsp;recess,&nbsp;then&nbsp;Miranda&nbsp;is playing wall&nbsp;ball.<\/li>\n\n\n\n<li>If&nbsp;it&nbsp;is not&nbsp;recess,&nbsp;then&nbsp;Miranda&nbsp;is not playing wall&nbsp;ball.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To&nbsp;find the contrapositive of the given conditional, switch the order of the hypothesis and conclusion and negate them&nbsp;both. <\/li>\n\n\n\n<li>If&nbsp;<strong>Miranda&nbsp;is playing wall&nbsp;ball<\/strong>,&nbsp;then&nbsp;<strong>it&nbsp;is&nbsp;recess<\/strong>.<\/li>\n<\/ul>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/in.ixl.com\/qgen_res\/math\/arrows\/Black_implies_down_arrow.gif\" alt=\"\"\/><\/figure><\/div>\n\n\n<ul class=\"wp-block-list\">\n<li>If&nbsp;<strong>it&nbsp;is not&nbsp;recess<\/strong>,&nbsp;then&nbsp;<strong>Miranda&nbsp;is not playing wall&nbsp;ball<\/strong>.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\">Let&#8217;s practice!\ud83d\udd8a\ufe0f<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/90073\/856\/293\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-157.png\" alt=\"\" class=\"wp-image-7472\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-157.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-157-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-157-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/38457\/508\/662\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-176.png\" alt=\"\" class=\"wp-image-7473\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-176.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-176-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-176-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Converses, inverses and contra positives Key Notes: Learn with an example \ud83d\udcd6 What&nbsp;is the converse of the following&nbsp;conditional? \ud83d\udcd6 If&nbsp;Gregory&nbsp;is going to take a lot of&nbsp;notes,&nbsp;then&nbsp;English&nbsp;class is&nbsp;next. \ud83d\udcd6 What&nbsp;is the contrapositive of the following&nbsp;conditional? \ud83d\udcd6 If&nbsp;Miranda&nbsp;is going to buy candy&nbsp;floss,&nbsp;then&nbsp;she&nbsp;is going to Harriet&#8217;s candy&nbsp;shop. \ud83d\udcd6 What&nbsp;is the contrapositive of the following&nbsp;conditional? \ud83d\udcd6 If&nbsp;Miranda&nbsp;is playing wall&nbsp;ball,&nbsp;then&nbsp;it&nbsp;is&nbsp;recess.<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/w-7-converses-inverses-and-contra-positives\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.7 Converses, inverses and contra positives&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-433","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/433","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=433"}],"version-history":[{"count":11,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/433\/revisions"}],"predecessor-version":[{"id":17679,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/433\/revisions\/17679"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}