Question

graph the solution to the inequality on the number line. |u| ≤ 4

Explanation:

Step1: Recall absolute - value inequality rule

If \(|u|\leq a\) (\(a\geq0\)), then \(-a\leq u\leq a\). For \(|u|\leq4\), we have \(- 4\leq u\leq4\).

Step2: Graph on number - line

On the number - line, we mark a closed circle at \(-4\) (because \(u\) can equal \(-4\)) and a closed circle at \(4\) (because \(u\) can equal \(4\)), and then shade the region between them.

Answer:

On the number - line, mark closed circles at \(-4\) and \(4\), and shade the region between them.