The problem asks us to solve the inequality $r - 4 \le 2$ and graph the solution on a number line.

1. Problem Description

The problem asks us to solve the inequality $r - 4 \le 2$ and graph the solution on a number line.

2. Solution Steps

First, we solve the inequality for $r$.

$r - 4 \le 2$

Add 4 to both sides of the inequality:

$r - 4 + 4 \le 2 + 4$

$r \le 6$

Now, we graph the solution on the number line. The solution $r \le 6$ means that $r$ can be any number less than or equal to

6. Since the inequality includes "equal to", we use a closed circle at

6. The arrow points to the left, indicating that all numbers less than 6 are included in the solution.

3. Final Answer

The solution to the inequality is $r \le 6$. We should plot a closed circle on 6, and an arrow pointing to the left.