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# Representation-Of-Sets

Now Let us discuss methods of Representing a set.

There are two methods of representing a set.

i)                   Roster or Tabular form

ii)                 Set builder form

i) Roster or Tabular form :

In Roster form all the elements are listed. The elements are being separated by commas and enclosed within flower braces { }.

Ex: I ) The set of Even positive integers less than 9.

It can be represented as { 2, 4, 6, 8}.

ii)The set of natural numbers which divide 36

{ 1,2, 3, 4, 6, 9, 12, 18, 36}

Note:  It may be noted two points that i) While writing the set in roster form is not repeated i.e., elements of set are all distinct.

Ex: Letters of the word Mathematics can be written as { M, A, T, H, E, I, C, S}.

ii)Order of listing elements has no relevance

i.e., { A, C, E, H, I, M, S,T} OR { M, A, T, H, E, I, C, S}  both represents same.

ii) SET BUILDER FORM :

In set builder form, all the elements of a set possess a single common property which is not possessed by any element outside the set.

Ex: {a, e, I, o, u} all the elements possess a common property, namely each of them is a vowel in the English alphabet, and no other letter possess this property. Denoting this set by V , we write

V= { x : x is a vowel in English alphabet}

Another example A={ x: x is a natural number less than 10}

B={ x: x is odd natural number }….

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