Question

graph the solution set for m < 4 or m ≥ -7.

Explanation:

Step1: Mark - 7 on number line

Use a closed circle at - 7 since $m\geq - 7$.

Step2: Shade to the right of - 7

To represent $m\geq - 7$.

Step3: Mark 4 on number line

Use an open circle at 4 since $m < 4$.

Step4: Shade to the left of 4

To represent $m < 4$.

Answer:

The number line has a closed circle at - 7 with shading to the right of - 7 and an open circle at 4 with shading to the left of 4. The entire number line is shaded as the union of $m < 4$ and $m\geq - 7$ covers all real - numbers.