Answer
$(-6,3)$ is a solution of the inequality.
Work Step by Step
The given inequality is
$\Rightarrow -4x-8y\lt 15 $
Substitute $-6$ for $x$ and $3$ for $y$.
$\Rightarrow -4(-6)-8(3)\lt 15 $
Simplify.
$\Rightarrow 24-24\lt 15 $
$\Rightarrow 0\lt 15 $
True.
Hence, $(-6,3)$ is a solution of the inequality.