Question

Answer, whether the following statements are true or false. Give reasons.

The set of squares of integers and the set of whole numbers are equal sets.

Answer 1

Step: State true or false for the given statement
Given: The set of squares of integes and the set of whole numbers are equal.

Set of integers is {...-3.-2,-1,0,1,2,3,....}.
Set of square of integers is
{.......$(-3{)}^2,(-2{)}^2,(-1{)}^2,0^2,1^2,2^2,3^2$......}

={....,9,4,1,0,1,4,9......}

={0,1,4,9......}

Set of whole numbers is {0,1,2,3,4,.....}
We can see that the elements of both the sets are not identical.

Therefore, the two sets are not equal.
Hence, the given statement is false.