Answer
$w\gt -2$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 9+w\gt 7$
Subtract $9$ from each side.
$\Rightarrow 9+w-9\gt 7-9$
Simplify.
$\Rightarrow w\gt -2$
Hence, the solution is $w\gt -2$.
Use an open circle because $-2$ is not a solution.
Shade the number line on the right side.
