Question

solve the inequality.
\\(\frac{p}{-8}-\frac{2}{5}>\frac{8}{5}\\)
solution:
graph the solution.

Explanation:

Step1: Add $\frac{2}{5}$ to both sides

$\frac{p}{-8}-\frac{2}{5}+\frac{2}{5}>\frac{8}{5}+\frac{2}{5}$
$\frac{p}{-8}>\frac{8 + 2}{5}$
$\frac{p}{-8}>\frac{10}{5}$
$\frac{p}{-8}>2$

Step2: Multiply both sides by - 8 and reverse the inequality sign

$p<2\times(-8)$
$p < - 16$

Answer:

$p < - 16$
The graph should have an open - circle at $-16$ and an arrow pointing to the left.