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The inequality to solve is:

\[
-9x \geq 99
\]

### Step-by-Step Solution:

1. **Divide both sides by -9**:
   When dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality must be reversed. 

\[
x \leq \frac{99}{-9}
\]

2. **Simplify**:

\[
x \leq -11
\]

### Final Answer:
\[
x \leq -11
\]

Would you like more details or have any questions about this? Here are some related questions for practice:

1. How does multiplying or dividing by negative numbers affect inequalities?
2. What is the difference between solving equations and solving inequalities?
3. How would the inequality change if it were \(-9x \leq 99\)?
4. How can you graph the solution \(x \leq -11\) on a number line?
5. What are real-life applications of inequalities?

**Tip:** Always remember to reverse the inequality when multiplying or dividing both sides by a negative number.

Learn how to solve the inequality -9x ≥ 99 by dividing both sides by -9. This step-by-step solution explains how dividing by a negative number reverses the inequality, resulting in the final answer x ≤ -11. Suitable for students in Grades 7-9.

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