Solve the inequality $u + 8 \le 9$ and graph the solution on a number line.

AlgebraInequalitiesNumber LineLinear Inequalities
2025/4/28

1. Problem Description

Solve the inequality u+89u + 8 \le 9 and graph the solution on a number line.

2. Solution Steps

To solve the inequality u+89u + 8 \le 9, subtract 8 from both sides of the inequality:
u+8898u + 8 - 8 \le 9 - 8
u1u \le 1
The solution is u1u \le 1. This means uu can be any value less than or equal to

1. To graph the solution on the number line, we need to plot a closed circle (or filled-in circle) at 1 because $u$ can be equal to

1. Then we draw an arrow extending to the left, indicating that all values less than 1 are also solutions.

3. Final Answer

The solution to the inequality is u1u \le 1. The graph would show a closed circle at 1 and an arrow extending to the left.

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