The problem asks us to solve the inequality $18 < 6v$ and graph the solution on a number line.

1. Problem Description

The problem asks us to solve the inequality $18 < 6v$ and graph the solution on a number line.

2. Solution Steps

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

To do this, we divide both sides of the inequality by 6:

$\frac{18}{6} < \frac{6v}{6}$

$3 < v$

This inequality can also be written as $v > 3$.

The solution is all values of $v$ that are greater than

3. To graph this solution on a number line, we need to place an open circle at 3 and draw an arrow to the right, indicating that all values greater than 3 are included in the solution.

3. Final Answer

The solution to the inequality $18 < 6v$ is $v > 3$. On the number line, plot an open circle at 3 and draw an arrow to the right.