The problem is to solve the inequality $1 \le v - 8$ and graph the solution on a number line.

1. Problem Description

The problem is to solve the inequality $1 \le v - 8$ and graph the solution on a number line.

2. Solution Steps

We need to isolate the variable $v$ in the inequality $1 \le v - 8$. To do this, we add 8 to both sides of the inequality:

$1 + 8 \le v - 8 + 8$

$9 \le v$

This can be rewritten as $v \ge 9$. This means that $v$ is greater than or equal to

9. On the number line, we need to plot a closed circle (because it's "greater than or equal to") at 9, and then draw an arrow to the right (because it's "greater than").

3. Final Answer

The solution to the inequality is $v \ge 9$. The graph will show a closed circle at 9 and an arrow extending to the right.