Answer
$m\gt 5$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow m+4\gt 9$
Subtract $4$ from each side.
$\Rightarrow m+4-4\gt 9-4$
Simplify.
$\Rightarrow m\gt 5$
Hence, the solution is $m\gt 5$.
Use an open circle because $5$ is not a solution.
Shade the number line on the right side.