{"id":429,"date":"2022-04-13T10:58:11","date_gmt":"2022-04-13T10:58:11","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=429"},"modified":"2025-04-08T10:39:12","modified_gmt":"2025-04-08T10:39:12","slug":"w-5-conditionals","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/w-5-conditionals\/","title":{"rendered":"W.5 Conditionals"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Conditionals<\/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<p> \ud83c\udfaf 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 hypothesis and&nbsp;<em>B<\/em>&nbsp;is the&nbsp;conclusion.<\/p>\n\n\n\n<p> \ud83c\udfafA&nbsp;<strong>counterexample<\/strong>&nbsp;is an example in which the hypothesis is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false. If there is no counterexample, then the conditional is&nbsp;true.<\/p>\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:#e8dcdc\"><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>\ud83d\udca3 Is&nbsp;the following conditional&nbsp;true?<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-dfa12da03a85b76ae51e7c1fbb170007\" style=\"color:#b00012\"><strong> \ud83d\udca3 If&nbsp;a polygon is a quadrilateral, then it has more than three&nbsp;sides.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look at the given conditional:<\/li>\n\n\n\n<li>If a polygon is a quadrilateral, then it has more than three sides.<\/li>\n\n\n\n<li>The conditional is true because 4 &gt; 3.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f3c7c7\"><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-193cb2578ec2d27b96687866864e4e71\" style=\"color:#b00012\">\ud83d\udca3 <strong>Is&nbsp;the following conditional&nbsp;true? <\/strong>If&nbsp;f&lt;3,&nbsp;then&nbsp;f\u22643.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look at the given conditional:<\/li>\n\n\n\n<li>If f&lt;3, then f\u22643.<\/li>\n\n\n\n<li>If f is less than 3, then f is also less than or equal to 3. So, the conditional is true.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#cdf6d6\"><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>\ud83d\udca3 Is&nbsp;the following conditional&nbsp;true?<\/p>\n\n\n\n<p class=\"has-text-color has-link-color wp-elements-b1cad83f9e64db972c7e85c9e728a0c1\" style=\"color:#b00012\"><strong> \ud83d\udca3 If&nbsp;a triangle has an angle measuring less than 90 degrees, then it is&nbsp;acute.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look&nbsp;at the given&nbsp;conditional:<\/li>\n\n\n\n<li>If&nbsp;a triangle has an angle measuring less than 90 degrees, then it is&nbsp;acute.<\/li>\n\n\n\n<li>The&nbsp;conditional is&nbsp;<strong>false<\/strong>&nbsp;because every triangle, including right and obtuse ones, has an angle measuring less than 90&nbsp;degrees.<\/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\/90071\/187\/370\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-1.png\" alt=\"This image has an empty alt attribute; its file name is Worksheet-1-3-155.png\" class=\"wp-image-10258\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-1.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-1-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/12\/image-1-150x150.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\/90064\/562\/363\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-174.png\" alt=\"\" class=\"wp-image-7467\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-174.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-174-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-174-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Conditionals Key Notes: \ud83c\udfaf A&nbsp;conditional&nbsp;statement&nbsp;can be written as&nbsp;If&nbsp;A,&nbsp;then&nbsp;B.&nbsp;A&nbsp;is the hypothesis and&nbsp;B&nbsp;is the&nbsp;conclusion. \ud83c\udfafA&nbsp;counterexample&nbsp;is an example in which the hypothesis is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false. If there is no counterexample, then the conditional is&nbsp;true. Learn with an example<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/w-5-conditionals\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.5 Conditionals&#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-429","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/429","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=429"}],"version-history":[{"count":14,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/429\/revisions"}],"predecessor-version":[{"id":17677,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/429\/revisions\/17677"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=429"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}