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what is set - builder form and roster form

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

Hi!
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.
Example:
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 { }.
Example:
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}
Cheers!

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

This conversation is already closed by Expert