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.