Answer
$(-8,2)$ is not a solution of the inequality.
Work Step by Step
The given inequality is
$\Rightarrow -x-6y\gt 12 $
Substitute $-8$ for $x$ and $2$ for $y$.
$\Rightarrow -(-8)-6(2)\gt 12 $
Simplify.
$\Rightarrow 8-12\gt 12 $
$\Rightarrow -4\gt 12 $
False.
Hence, $(-8,2)$ is not a solution of the inequality.
