The problem is to solve the inequality $\frac{k}{2} > 4$ and graph the solution on a number line.

1. Problem Description

The problem is to solve the inequality $\frac{k}{2} > 4$ and graph the solution on a number line.

2. Solution Steps

First, we need to solve the inequality $\frac{k}{2} > 4$ for $k$. To do this, we multiply both sides of the inequality by 2:

$2 * \frac{k}{2} > 4 * 2$

$k > 8$

The solution to the inequality is $k > 8$. This means that $k$ can be any number greater than

8. To graph this solution on a number line, we need to place an open circle at 8 (since $k$ is strictly greater than 8 and not equal to 8) and draw an arrow extending to the right, indicating that all numbers greater than 8 are solutions to the inequality.

3. Final Answer

The solution to the inequality is $k > 8$. Graph this solution with an open circle at 8 and an arrow to the right.