Question

graph the solution to the inequality on the number line. |v|≥5

Explanation:

Step1: Recall absolute - value inequality rule

The inequality \(|v|\geq5\) is equivalent to two inequalities: \(v\geq5\) or \(v\leq - 5\).

Step2: Graph on number line

For \(v\geq5\), we draw a closed - circle at \(v = 5\) (because the inequality includes equality) and shade to the right. For \(v\leq - 5\), we draw a closed - circle at \(v=-5\) and shade to the left.

Answer:

On the number line, place closed - circles at \(v=-5\) and \(v = 5\). Shade the region to the left of \(v=-5\) and the region to the right of \(v = 5\).