Answer
$ w\gt 2$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow \frac{w}{2}+4\gt 5$
Subtract $4$ from each side.
$\Rightarrow \frac{w}{2}+4-4\gt 5-4$
Simplify.
$\Rightarrow \frac{w}{2}\gt 1$
Multiply each side by $2$.
$\Rightarrow 2\cdot \frac{w}{2}\gt 2\cdot 1$
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.
