i am not getting the clear cut definition of set-builder form ,plz explain it widely 

Hi!

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}

 

Cheers!