Question

solve for m and graph the solution.
-12 ≤ m + 4 ≤ -11
plot the endpoints. select an endpoint to change it from closed to open. select the middle of a segment, ray, or line to delete it.

Explanation:

Step1: Subtract 4 from all parts

$$\begin{align*} -12-4&\leq m + 4-4\leq -11 - 4\\ -16&\leq m\leq -15 \end{align*}$$

Step2: Graph the solution

On the number - line, place a closed circle at \(m=-16\) (since the inequality is \(\leq\)) and a closed circle at \(m = - 15\) (since the inequality is \(\leq\)), and connect the two points with a line segment.

Answer:

The solution for \(m\) is \(-16\leq m\leq -15\). On the number - line, there is a closed circle at \(-16\) and a closed circle at \(-15\) with a line segment between them.