Question

graph the solution to the inequality on the number line. |w| < 8

Explanation:

Step1: Recall absolute - value rule

The inequality $|w|<8$ is equivalent to $- 8 < w<8$.

Step2: Graph on number - line

On the number - line, we draw an open circle at $w = - 8$ and $w = 8$ (because the inequality is strict, i.e., $<$ not $\leq$), and then shade the region between $-8$ and $8$.

Answer:

Draw open circles at $-8$ and $8$ on the number - line and shade the region between them.