Answer
$ p\lt -32$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow \frac{p}{-8}+9\gt 13$
Subtract $9$ from each side.
$\Rightarrow \frac{p}{-8}+9-9\gt 13-9$
Simplify.
$\Rightarrow \frac{p}{-8}\gt 4$
Multiply each side by $-8$. Reverse the inequality symbol.
$\Rightarrow -8\cdot (\frac{p}{-8})\lt -8\cdot 4$
Simplify.
$\Rightarrow p\lt -32$
Hence, the solution is $ p\lt -32$.
Use an open circle because $-32$ is not a solution.
Shade the number line on the left side.
