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

AlgebraInequalitiesLinear InequalitiesNumber LineGraphing
2025/4/28

1. Problem Description

The problem asks to solve the inequality 4v>164v > 16 and graph the solution on a number line.

2. Solution Steps

First, we need to solve the inequality for vv.
4v>164v > 16
Divide both sides of the inequality by

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

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

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