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

1. Problem Description

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

2. Solution Steps

To solve the inequality $\frac{d}{2} > 4$, we need to isolate $d$. We can do this by multiplying both sides of the inequality by 2:

$2 \cdot \frac{d}{2} > 2 \cdot 4$

$d > 8$

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

8. To graph this solution on a number line, we need an open circle at 8, since 8 is not included in the solution, and an arrow extending to the right, indicating that all numbers greater than 8 are part of the solution.

3. Final Answer

The solution to the inequality is $d > 8$. On the number line, we should plot an open circle at 8 and an arrow extending to the right (towards positive infinity).