{"id":6048,"date":"2021-10-04T23:41:37","date_gmt":"2021-10-04T18:11:37","guid":{"rendered":"https:\/\/mathemerize.com\/?p=6048"},"modified":"2021-10-04T23:42:07","modified_gmt":"2021-10-04T18:12:07","slug":"sets-examples","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/sets-examples\/","title":{"rendered":"Sets Examples"},"content":{"rendered":"

Here you will learn some sets examples for better understanding of sets concepts<\/a><\/span>.<\/p>\n\n\n

\n
\n \n

Example 1 : <\/span> The set A = [x : x \\(\\in\\) R, x^2 = 16 and 2x = 6] equal-<\/p>\n

Solution : <\/span>\\(x^2\\) = 16 \\(\\implies\\) x = \\(\\pm\\)4

2x = 6 \\(\\implies\\) x = 3

There is no value of x which satisfies both the above equations.

Thus, A = \\(\\phi\\)<\/p>\n


\n\n \n

Example 2 : <\/span> 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-<\/p>\n

Solution : <\/span> A = [x: x \\(\\in\\) R,-1 < x < 1]

B = [x : x \\(\\in\\) R, x – 1 \\(\\le\\) -1 or x – 1 \\(\\ge\\) 1]

    [x: x \\(\\in\\) R, x \\(\\le\\) 0 or x \\(\\ge\\) 2]

\\(\\therefore\\) A \\(\\cup\\) B = R – D

where D = [x : x \\(\\in\\) R, 1 \\(\\le\\) x < 2]\n <\/p>


\n\n

Example 3 : <\/span> If aN = {ax : x \\(\\in\\) N}, then the set 6N \\(\\cap\\) 8N is equal to-<\/p>\n

Solution : <\/span>6N = {6, 12, 18, 24, 30, …..}

8N = {8, 16, 24, 32, ….}

\n \\(\\therefore\\) 6N \\(\\cap\\) 8N = {24, 48, …..} = 24N<\/p>\n


\n\n \n

Example 4 : <\/span> If A = {x,y}, then the power set of A is-<\/p>\n

Solution : <\/span>Clearly P(A) = Power set of A

= set of all subsets of A

\n = {\\(\\phi\\), {x}, {y}, {x,y}}<\/p>\n
\n

Practice these given sets examples to test your knowledge on concepts of sets.<\/p> \n <\/div>\n <\/div>\n","protected":false},"excerpt":{"rendered":"

Here you will learn some sets examples for better understanding of sets concepts. Example 1 : The set A = [x : x \\(\\in\\) R, x^2 = 16 and 2x = 6] equal- Solution : \\(x^2\\) = 16 \\(\\implies\\) x = \\(\\pm\\)4 2x = 6 \\(\\implies\\) x = 3 There is no value of x …<\/p>\n

Sets Examples<\/span> Read More »<\/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":[16],"tags":[],"yoast_head":"\nSets Examples - Mathemerize<\/title>\n<meta name=\"description\" content=\"Solve these Sets examples to practice and test your knowledge of Sets concepts.\" \/>\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\/sets-examples\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Sets Examples - 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