To solve the inequality $-x - 8 \geq -5$, follow these steps:

1. Add 8 to both sides: $-x \geq -5 + 8$ $-x \geq 3$

2. Multiply both sides by $-1$, and remember to reverse the inequality sign when multiplying by a negative number: $x \leq -3$

So, the solution is: $x \leq -3$

Final Answer: $x \leq -3$

Would you like further details on solving inequalities, or do you have any questions?

Here are five related questions to deepen your understanding:

1. How do you solve inequalities involving variables on both sides?
2. What happens when you multiply or divide an inequality by a negative number?
3. Can you explain how to graph the solution $x \leq -3$ on a number line?
4. How do you solve compound inequalities (like $a < x \leq b$)?
5. What are the key differences between solving equations and inequalities?

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