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

AlgebraInequalitiesNumber LineSolving Inequalities
2025/3/8

1. Problem Description

The problem is to solve the inequality 1n81 \le n - 8 and graph the solution on a number line.

2. Solution Steps

To solve the inequality 1n81 \le n - 8, we need to isolate nn.
We can add 8 to both sides of the inequality:
1+8n8+81 + 8 \le n - 8 + 8
9n9 \le n
This can also be written as n9n \ge 9.
This inequality states that nn 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

n9n \ge 9

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