To solve the inequality:

\[
\frac{x}{-8} \geq -5
\]

We follow these steps:

### Step 1: Eliminate the denominator
Multiply both sides of the inequality by \(-8\). Remember, when you multiply or divide both sides of an inequality by a negative number, you must **reverse the inequality sign**:

\[
x \leq (-5) \times (-8)
\]

\[
x \leq 40
\]

### Final Answer:
\[
x \leq 40
\]

Do you want more details or have any questions about the steps?

Here are 5 related questions for further practice:
1. Solve \(\frac{x}{-7} \geq -6\).
2. Solve \(\frac{y}{-4} < 3\).
3. Solve \(\frac{x}{-9} > -8\).
4. Solve \( \frac{x}{5} \leq -2 \).
5. Solve \(\frac{2x}{-3} \geq 7\).

**Tip:** Always remember to reverse the inequality sign when multiplying or dividing by a negative number!

Learn how to solve the inequality \dfrac{x}{-8}\geq-5 using key algebraic concepts. This problem demonstrates reversing the inequality sign when multiplying by a negative number. Ideal for students in Grades 7-9 looking to improve their understanding of inequalities.

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