The problem is to solve the inequality $q - 4 \le 4$ and graph the solution on a number line.

1. Problem Description

The problem is to solve the inequality $q - 4 \le 4$ and graph the solution on a number line.

2. Solution Steps

First, we solve the inequality for $q$.

$q - 4 \le 4$

Add 4 to both sides of the inequality:

$q - 4 + 4 \le 4 + 4$

$q \le 8$

The solution to the inequality is $q \le 8$.

To graph the solution, we need to plot a closed circle (or dot) at 8 on the number line, since $q$ can be equal to

8. Then, we draw an arrow extending to the left (negative infinity) to indicate that $q$ can be any value less than or equal to

8.

3. Final Answer

$q \le 8$