Which of the following are pairs of equal sets?

Equal Sets = Two sets A and B are said to be equal if they have exactly the

same elements & we write A = B

We have,

$G=\{-1,1\}$

and $H=\left\{x: x \in Z, x^{2}-1=0\right\}$

Here, $x \in Z$ and $x^{2}-1=0$

The given equation can be solved as:

$x^{2}-1=0$

$\Rightarrow \mathrm{x}^{2}=1$

$\Rightarrow \mathrm{x}=\sqrt{1}$

$\Rightarrow \mathrm{x}=\pm 1$

$\therefore \mathrm{x}=-1$ and 1

$\therefore \mathrm{H}=\{-1,1\}$

$\Rightarrow \mathrm{G}=\mathrm{H}$ because elements of both the sets are equal.