Question

solve the inequality and graph the solution.
-20 < m - 16
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: Solve the inequality

Add \(16\) to both sides of \(-20 < m - 16\).
Using the addition property of inequalities \(a < b\) implies \(a + c < b + c\).
So, \(-20+16 < m-16 + 16\).
\(-4 < m\) or \(m>-4\).

Step2: Graph the solution

The inequality \(m > - 4\) is a ray. The endpoint is at \(m=-4\). Since the inequality is strict (\(>\)), the endpoint is open. The ray extends to the right (towards larger values of \(m\)).

Answer:

The solution of the inequality is \(m > - 4\). On the number - line, there is an open circle at \(-4\) and a ray extending to the right.