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what is set - builder form and roster form

Asked by Donnipad Aparna...(student) , on 13/6/11


roster form is the form of sets where all the components are seperated by commas and are enclosed in curly brackets

whereas in set builder form elements are written having a special property satisfied by all its elements

Posted by Priyanka Sethi(student)on 13/6/11

 writing all the numbers one aft the other is a roaster form & Giving a rule with which elements can be given is called set builder form /rule method

Posted by Shravzz The M...(student)on 13/6/11



Here is the answer to your query.
In set builder form, the set is described by a characterizing property of its elements. In order to describe a set, a variable, say x is written inside the braces and then after putting a colon the common property P (x) possessed by each element of the set is written within the braces.
The set P = {1, 2, 3, 4, 5, 6, 7, 8} can be written in set builder form as P = {x: x ε N, x ≤ 8}
The set Q = {1, 4, 9, 16... 100} can be written in set builder form as Q = {x 2: x ε N, 1 ≤ x ≤ 10}
In roster form, the set is described by listing elements, separated by commas, within the braces { }.
Let A = {x: x is a set of even natural numbers between 15 and 45} .Write this set in roster forms. 
A = {x: x is a set of even natural numbers between 15 and 45}.
The roster form of this set can be written as:
A = {16, 18 20 22, 24 26, 28, 30, 32, 34, 36, 38, 40, 42, 44}

Posted by Lalit Mehra(MeritNation Expert)on 14/6/11

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