The problem asks to solve the inequality $4v > 16$ and graph the solution on a number line.

1. Problem Description

The problem asks to solve the inequality $4v > 16$ and graph the solution on a number line.

2. Solution Steps

First, we need to solve the inequality for $v$.

$4v > 16$

Divide both sides of the inequality by

4. $\frac{4v}{4} > \frac{16}{4}$

$v > 4$

The solution is $v > 4$.

To graph this solution on a number line, we need to plot an endpoint at

4. Since the inequality is $v > 4$, we use an open circle at 4, which indicates that 4 is not included in the solution. Then, we draw an arrow to the right, indicating that all values greater than 4 are solutions.

3. Final Answer

The solution to the inequality is $v > 4$. We graph this by placing an open circle at 4 and drawing an arrow to the right.