{"id":3707,"date":"2021-08-07T21:20:10","date_gmt":"2021-08-07T21:20:10","guid":{"rendered":"https:\/\/mathemerize.com\/?p=3707"},"modified":"2022-01-15T16:12:14","modified_gmt":"2022-01-15T10:42:14","slug":"what-is-sets-in-mathematics","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/what-is-sets-in-mathematics\/","title":{"rendered":"What is Sets in Mathematics – Methods to write a Set"},"content":{"rendered":"

Here, you will learn what is sets in mathematics and different methods to write a set with examples.<\/p>\n

Let’s begin –<\/p>\n

What is Sets in Mathematics ?<\/h2>\n

A set is a collection of well defined objects which are distinct from each other.<\/p>\n

Set are generally denoted by capital letters A, B, C, ….. etc. and the elements of the set by a,b,c …..etc.<\/p>\n

If a is an element of a set A, then we write a \\(\\in\\) A and say a belongs to A.<\/p>\n

If a does not belong to A then we write a \\(\\notin\\) A.<\/p>\n

Example<\/span> : The collection of first five prime natural numbers in a set containing the elements 2,3,5,7,11.<\/p>\n

Some important number sets<\/strong><\/p>\n

N = Set of all natural numbers = {1, 2, 3, ….}<\/p>\n

W = Set of all whole numbers = {0, 1, 2, 3, ….}<\/p>\n

Z = Set of all integers = {…..-3, -2, -1, 0, 1, 2, 3,….}<\/p>\n

Q = the set of all rational numbers<\/p>\n

R = the set of all real numbers<\/p>\n

Methods to write a set<\/h2>\n

(i) Roster Method<\/a> :<\/strong><\/p>\n

In this method a set is described by listing elements, separated by comma and enclose then by curly brackets.<\/p>\n

Example<\/span> : The set of vowels of English Alphabet may be described as {a, e, i, o ,u}.<\/p>\n

(ii) Set builder Form<\/a> :<\/strong><\/p>\n

In this case we write down a property or rule p which gives us all the element of the set A = {x : P(x)}<\/p>\n

Example<\/span> : A = {x : x \\(\\in\\) N and x = 2n for n \\(\\in\\) N}<\/p>\n

i.e. A = {2, 4, 6, …..}<\/p>\n\n\n

\n
Next – Types of Sets in Mathematics<\/a><\/div>\n<\/div>\n\n\n\n
<\/div>\n","protected":false},"excerpt":{"rendered":"

Here, you will learn what is sets in mathematics and different methods to write a set with examples. Let’s begin – What is Sets in Mathematics ? A set is a collection of well defined objects which are distinct from each other. Set are generally denoted by capital letters A, B, C, ….. etc. and …<\/p>\n

What is Sets in Mathematics – Methods to write a Set<\/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":[584,585,586,583],"yoast_head":"\nWhat is Sets in Mathematics - Methods to write a Set<\/title>\n<meta name=\"description\" content=\"In this post, you will learn what is sets in mathematics and different methods to write a set with examples.\" \/>\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\/what-is-sets-in-mathematics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What is Sets in Mathematics - 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