To solve the inequality $-10 \geq a$, we need to determine which of the given values for $a$ satisfy this inequality.

The inequality states that $-10$ is greater than or equal to $a$. So, any value of $a$ that is less than or equal to $-10$ would satisfy this inequality.

The options provided are:

1. $a = -11$
2. $a = -8$
3. $a = -5$
4. $a = -7$

Among these, only $a = -11$ is less than or equal to $-10$. Therefore, the correct answer is:

$a = -11$

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

Here are five additional related questions for practice:

1. What would be the solution to $a \geq -10$?
2. Which values satisfy the inequality $-10 < a$?
3. How would the solution change if the inequality were $a \leq -8$?
4. Can you graph the solution set for $a$ in $-10 \geq a$?
5. What is the difference between solving $a > -10$ and $a \geq -10$?

Tip: When solving inequalities, remember to pay close attention to the inequality sign to determine whether the boundary number is included in the solution set.