The problem asks us to solve the inequality $\frac{h}{2} > 3$ and then graph the solution on a number line.

1. Problem Description

The problem asks us to solve the inequality $\frac{h}{2} > 3$ and then graph the solution on a number line.

2. Solution Steps

To solve the inequality $\frac{h}{2} > 3$, we multiply both sides of the inequality by 2:

$2 * \frac{h}{2} > 2 * 3$

$h > 6$

The solution to the inequality is $h > 6$. This means that $h$ can be any number greater than 6, but not equal to

6.

To graph the solution on the number line, we place an open circle at 6, since $h$ is strictly greater than 6, and then draw a ray extending to the right (towards positive infinity), indicating that all numbers greater than 6 are solutions to the inequality.

3. Final Answer

The solution is $h > 6$. The graph will have an open circle on 6 and the ray extending to the right.