Answer
$(-4,-1)$ is a solution of the inequality.
Work Step by Step
The given inequality is
$\Rightarrow 5x-2y\leq -1$
Substitute $-4$ for $x$ and $-1$ for $y$.
$\Rightarrow 5(-4)-2(-1)\leq -1$
Simplify.
$\Rightarrow -20+2\leq -1$
$\Rightarrow -18\leq -1$
True.
Hence, $(-4,-1)$ is a solution of the inequality.