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

1. Problem Description

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

2. Solution Steps

To solve the inequality $1 \le n - 8$, we need to isolate $n$.

We can add 8 to both sides of the inequality:

$1 + 8 \le n - 8 + 8$

$9 \le n$

This can also be written as $n \ge 9$.

This inequality states that $n$ is greater than or equal to

9. On the number line, we represent this by a closed circle (or a filled-in dot) at 9, and the line extends to the right, indicating that all values greater than or equal to 9 are solutions.

3. Final Answer

$n \ge 9$