Question

graph the solution to the inequality on the number line. |u| < 7

Explanation:

Step1: Recall absolute - value inequality rule

If \(|u|0\)), then \(-a < u < a\). For \(|u|<7\), we have \(-7 < u < 7\).

Step2: Graph on number - line

On the number - line, we mark an open circle at \(-7\) and at \(7\) (because the inequality is strict, \(u
eq - 7\) and \(u
eq7\)), and then shade the region between \(-7\) and \(7\).

Answer:

On the given number - line, place open circles at \(-7\) and \(7\), and shade the region between them.