Answer
$ m\gt 3$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 4-2m\gt 7-3m$
Add $3m-4$ to each side.
$\Rightarrow 4-2m+3m-4\gt 7-3m+3m-4$
Simplify.
$\Rightarrow m\gt 3$
Hence, the solution is $ m\gt 3$.
Use an open circle because $3$ is not a solution.
Shade the number line on the right side.
