Question

State whether the given pair of sets are equal or equivalent:

(vii) :

A = $\{0^2,1^2,2^2,3^2,4^2\}$ and

B = {16, 9, 4, 1, 0}

Answer 1

Step : Check whether the given pair of sets are equal or equivalent

Given:

A = $\{0^2,1^2,2^2,3^2,4^2\}$ = {0, 1, 4, 9, 16}

and B = {16, 9, 4, 1, 0}

Elements of set A are 0, 1, 4, 9, 16 are equal to elements of set B.

And we know that two sets are said to be equal, if the elements of both the sets are same.

Hence, A and B are equal set.