Question

Write power set of A={x/x is factor of 4}; x E N​

Answer 1

Step-by-step explanation:

Given :

A={x/x is factor of 4}; x E N

To find :

Write power set of A

Solution:

A={x/x is factor of 4}; x E N

=>A={1,2,4}

=>n(A)=3

since the number of elements in the set A is 3 then the number of subsets to A

=2^3=8

They are

{},{1},{2},{4},{1,2},{2,4},{1,4},{1,24}

The power set of A is P(A)=

{{},{1},{2},{4},{1,2},{2,4},{1,4},{1,24}}

Points to Remember:

The number of elements in the given

set A is called the Cardinal number of the set A and it is denoted by n(A).

The set A has n elements then the

number of subsets to A are 2^n.

The set of all subsets is called the power set.

The power set of A is denoted by P (A).