Question

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

Explanation:

Step1: Rewrite absolute - value inequality

The inequality \(|u|>7\) can be rewritten as \(u > 7\) or \(u<-7\).

Step2: Graph on number line

On the number line, we use open circles at \(u = - 7\) and \(u = 7\) (because the inequality is strict, \(>\) not \(\geq\)). Then we shade the regions to the left of \(u=-7\) and to the right of \(u = 7\).

Answer:

Shade the region to the left of \(u=-7\) (open - circle at \(u = - 7\)) and the region to the right of \(u = 7\) (open - circle at \(u = 7\)) on the number line.