Question

solve the inequality and graph the solution. -2p ≤ 8 plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Divide both sides by -2

When dividing an inequality by a negative number, the inequality sign flips. So, $\frac{-2p}{-2}\geq\frac{8}{-2}$.

Step2: Simplify

Simplifying gives $p\geq - 4$.

Answer:

The solution of the inequality is $p\geq - 4$. On the number - line, we plot a closed circle at $-4$ (because the inequality includes equality, i.e., $p$ can be equal to $-4$) and draw a ray to the right (since $p$ is greater than or equal to $-4$).