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!