Question

Let A = {$-$7, 5, 2} and B = {$\left\{\sqrt[\mathbf{3}]{\mathbf{125}}\mathbf{,}\mathbf{}\sqrt{\mathbf{4}}\mathbf{,}\mathbf{}\sqrt{\mathbf{49}}\right\}$
Are the sets A and B equal? Justify your answer.

Answer 1

Given: A = {$-$7,5,2} and B = $\left\{\sqrt[3]{125},\sqrt{4},\sqrt{49}\right\}$ = {5,2,7}

No, these sets are not equal. Two sets A and B are equal when every element of A belongs to B
and every element of B belongs to A.

Here, $-$7 belongs to A, but does not belongs to B. On the other hand, 7 belongs to B, but does not belong to A.
Hence, these sets are not equal.