Question

graph the solution to the inequality on the number line. |v| < 4

Explanation:

Step1: Recall absolute - value inequality rule

The inequality \(|v|\lt4\) is equivalent to \(- 4\lt v\lt4\).

Step2: Identify key points

The key points are \(v=-4\) and \(v = 4\). Since the inequality is strict (\(<\)), we use open circles at these points.

Step3: Shade the solution region

We shade the region on the number - line that represents all the values of \(v\) that satisfy \(-4\lt v\lt4\), which is the region between - 4 and 4.

Answer:

On the number - line, draw an open circle at - 4 and an open circle at 4, then shade the region between them.