Question

if A{x: -3<x<3 & x€Z} then the number of subsets of A will be?​

Answer 1

Answer:-

Your Answer Is 32.

Explanation:-

Given:-

• A set $\tt A = \{x: -3<x<3\:\&x\in Z\}.$

To Find:-

• Number of subsets A have.

Solution:-

Let Us first Write the set in roaster form:-

Integers which are greater then -3 and less then 3 are:-

• 2

• 1

• 0

• 1

• 2

Therefore,

$\\ \tt\mapsto A = \{ - 2 \: ,- 1 \: ,0 \: ,1 \: ,2 \}$

Also we know that,

• If a set have na number of elements then the total number of subset it have, $\tt = 2^{na}.$

So Here,

• na = 5.

Therefore Total number Of Subsets,

$\\ \bf\large = 2 {}^{5} = 32.$

Therefore The Set A Have Total Of 32 Subsets.