Answer
$m=8$ is a solution.
Work Step by Step
The given value into the inequality. If the resullting statement is true, then the given value is a solution.
$\begin{align*}
\frac{3m}{6}-2&\stackrel{}{>}3\\
\frac{3(8)}{6}&\stackrel{?}{>}3\\
\frac{24}{6}&\stackrel{?}{>}3\\
4&\stackrel{\checkmark}{>}3\\
\end{align*}$
Thus, the given value is a solution.