{"id":435,"date":"2022-04-13T10:59:14","date_gmt":"2022-04-13T10:59:14","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=435"},"modified":"2025-04-08T10:32:07","modified_gmt":"2025-04-08T10:32:07","slug":"w-8-biconditionals","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/w-8-biconditionals\/","title":{"rendered":"W.8 Biconditionals"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong> Biconditionals<\/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> \ud83d\udcda A&nbsp;conditional statement can be written as&nbsp;<strong>If&nbsp;<\/strong>A,<strong>&nbsp;then&nbsp;<\/strong>B.&nbsp;A&nbsp;is the hypothesis and&nbsp;B&nbsp;is the&nbsp;conclusion.<\/p>\n\n\n\n<p> \ud83d\udcda The&nbsp;<strong>converse<\/strong>&nbsp;of the conditional&nbsp;<strong>If&nbsp;<\/strong>A,<strong>&nbsp;then&nbsp;<\/strong>B&nbsp;is&nbsp;<strong>If&nbsp;<\/strong>B,<strong>&nbsp;then&nbsp;<\/strong>A.&nbsp;The hypothesis and conclusion are&nbsp;switched.<\/p>\n\n\n\n<p> \ud83d\udcda A&nbsp;<strong>biconditional<\/strong>&nbsp;is a statement that combines a conditional and its converse. Biconditionals are frequently written in the form&nbsp;A<strong>&nbsp;if and only if&nbsp;<\/strong>B.<\/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 has-large-font-size\" style=\"background-color:#f9e6b1\"><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-23cf60e3a287cd92b97fc45b51d1fb67\" style=\"color:#b00012\"> \u2708\ufe0f <strong>Is&nbsp;the following statement a&nbsp;biconditional?<\/strong><\/p>\n\n\n\n<p>\u2708\ufe0f Michael&nbsp;smiles if and only if he sees clowns&nbsp;perform.<\/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 statement:<br>Michael smiles if and only if he sees clowns perform.<\/li>\n\n\n\n<li>The given statement is a biconditional because it is equivalent to the following two statements:<\/li>\n\n\n\n<li>If Michael smiles, then he sees clowns perform.<\/li>\n\n\n\n<li>If Michael sees clowns perform, then he smiles.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#f8baba\"><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-23cf60e3a287cd92b97fc45b51d1fb67\" style=\"color:#b00012\"> \u2708\ufe0f <strong>Is&nbsp;the following statement a&nbsp;biconditional?<\/strong><\/p>\n\n\n\n<p> \u2708\ufe0f If&nbsp;it is Tuesday, then Maya has a sandwich for&nbsp;lunch.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>yes<\/li>\n\n\n\n<li>no<br><\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Look&nbsp;at the given&nbsp;statement:<\/li>\n\n\n\n<li>If&nbsp;it is Tuesday, then Maya has a sandwich for&nbsp;lunch.<\/li>\n\n\n\n<li>A&nbsp;biconditional says that both a conditional and its converse are true. The given statement is only a conditional, not a&nbsp;biconditional.<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-background\" style=\"background-color:#d3c5f4\"><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-23cf60e3a287cd92b97fc45b51d1fb67\" style=\"color:#b00012\"> \u2708\ufe0f <strong>Is&nbsp;the following statement a&nbsp;biconditional?<\/strong><\/p>\n\n\n\n<p> \u2708\ufe0f If&nbsp;Ford is excited, then spelling class is&nbsp;next.<\/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 statement:<\/li>\n\n\n\n<li>If Ford is excited, then spelling class is next.<\/li>\n\n\n\n<li>A biconditional says that both a conditional and its converse are true. The given statement is only a conditional, not a biconditional.<\/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\/89995\/645\/810\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-158.png\" alt=\"\" class=\"wp-image-7476\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-158.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-158-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-158-150x150.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\/90069\/965\/163\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-177.png\" alt=\"\" class=\"wp-image-7477\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-177.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-177-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-177-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Biconditionals Key Notes: \ud83d\udcda A&nbsp;conditional statement 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. \ud83d\udcda The&nbsp;converse&nbsp;of the conditional&nbsp;If&nbsp;A,&nbsp;then&nbsp;B&nbsp;is&nbsp;If&nbsp;B,&nbsp;then&nbsp;A.&nbsp;The hypothesis and conclusion are&nbsp;switched. \ud83d\udcda A&nbsp;biconditional&nbsp;is a statement that combines a conditional and its converse. Biconditionals are frequently written in the form&nbsp;A&nbsp;if and only if&nbsp;B. Learn with an example \u2708\ufe0f Is&nbsp;the following statement a&nbsp;biconditional? \u2708\ufe0f Michael&nbsp;smiles if<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/w-8-biconditionals\/\">Continue reading <span class=\"screen-reader-text\">&#8220;W.8 Biconditionals&#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-435","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/435","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=435"}],"version-history":[{"count":12,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/435\/revisions"}],"predecessor-version":[{"id":17676,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/435\/revisions\/17676"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=435"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}