what is set - builder form and roster form

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.**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!

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