Answer
$-6$ is not a solution.
Work Step by Step
Substitute $-6$ to $x$ to obtain:
$\begin{align*}
4x-25&>-2\\
4(-6)-25&>-2\\
-24-25&>-2\\
-49&>-2
\end{align*}$
The resulting statement above is false therefore $-6$ is NOT a solution of the given inequality.
