Answer
$(-2,2)$ is not a solution of the inequality.
Work Step by Step
The given inequality is
$\Rightarrow x+y\gt 0$
Substitute $-2$ for $x$ and $2$ for $y$.
$\Rightarrow -2+2\gt 0$
Simplify.
$\Rightarrow 0\gt 0$
False.
Hence, $(-2,2)$ is not a solution of the inequality.
