{"id":6869,"date":"2021-10-21T21:19:37","date_gmt":"2021-10-21T15:49:37","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6869"},"modified":"2021-10-25T02:31:45","modified_gmt":"2021-10-24T21:01:45","slug":"if-a-xy-then-the-power-set-of-a-is","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/if-a-xy-then-the-power-set-of-a-is\/","title":{"rendered":"If A = {x,y}, then the power set of A is"},"content":{"rendered":"<h2>Solution :<\/h2>\n<p>Clearly P(A) = Power set of A<\/p>\n<p>= set of all subsets of A<\/p>\n<p>= {\\(\\phi\\), {x}, {y}, {x,y}}<\/p>\n<hr \/>\n<h3 style=\"text-align: center;\">Similar Questions<\/h3>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/let-a-and-b-be-two-sets-containing-2-elements-and-4-elements-respectively-the-number-of-subsets-atimesb-having-3-or-more-elements-is\/\" aria-label=\"\u201cLet A and B be two sets containing 2 elements and 4 elements, respectively. The number of subsets A\\(\\times\\)B having 3 or more elements is\u201d (Edit)\">Let A and B be two sets containing 2 elements and 4 elements, respectively. The number of subsets A\\(\\times\\)B having 3 or more elements is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-an-ax-x-in-n-then-the-set-6n-cap-8n-is-equal-to\/\" aria-label=\"\u201cIf aN = {ax : x \\(\\in\\) N}, then the set 6N \\(\\cap\\) 8N is equal to\u201d (Edit)\">If aN = {ax : x \\(\\in\\) N}, then the set 6N \\(\\cap\\) 8N is equal to<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/let-a-x-x-in-r-x-1-b-x-x-in-r-x-1-ge-1-and-a-cup-b-r-d-then-the-set-d-is\/\" aria-label=\"\u201cLet A = [x: x \\(\\in\\) R, |x| &lt; 1]; B = [x : x \\(\\in\\) R, |x - 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R - D, then the set D is\u201d (Edit)\">Let A = [x: x \\(\\in\\) R, |x| &lt; 1]; B = [x : x \\(\\in\\) R, |x &#8211; 1| \\(\\ge\\) 1] and A \\(\\cup\\) B = R &#8211; D, then the set D is<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/the-set-a-x-x-in-r-x2-16-and-2x-6-equal\/\" aria-label=\"\u201cThe set A = [x : x \\(\\in\\) R, \\(x^2\\) = 16 and 2x = 6] equal\u201d (Edit)\">The set A = [x : x \\(\\in\\) R, \\(x^2\\) = 16 and 2x = 6] equal<\/a><\/p>\n<p><a class=\"row-title\" href=\"https:\/\/mathemerize.com\/if-n-is-a-set-of-first-10-natural-numbers-and-a-relation-r-is-defined-as-a-2b-10-where-a-b-in-n-find-inverse-of-r\/\" aria-label=\"\u201cIf N is a set of first 10 natural numbers and a relation R is defined as a + 2b = 10 where a, b \\(\\in\\) N. find inverse of R.\u201d (Edit)\">If N is a set of first 10 natural numbers and a relation R is defined as a + 2b = 10 where a, b \\(\\in\\) N. find inverse of R.<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solution : Clearly P(A) = Power set of A = set of all subsets of A = {\\(\\phi\\), {x}, {y}, {x,y}} Similar Questions Let A and B be two sets containing 2 elements and 4 elements, respectively. The number of subsets A\\(\\times\\)B having 3 or more elements is If aN = {ax : x \\(\\in\\) &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathemerize.com\/if-a-xy-then-the-power-set-of-a-is\/\"> <span class=\"screen-reader-text\">If A = {x,y}, then the power set of A is<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,56],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.12 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>If A = {x,y}, then the power set of A is<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/if-a-xy-then-the-power-set-of-a-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"If A = {x,y}, then the power set of A is\" \/>\n<meta property=\"og:description\" content=\"Solution : Clearly P(A) = Power set of A = set of all subsets of A = {(phi), {x}, {y}, {x,y}} Similar Questions Let A and B be two sets containing 2 elements and 4 elements, respectively. 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