The inequality provided in the image is:

$-2 < q$

This inequality means that $q$ must be greater than $-2$.

Now, let's evaluate the possible values:

1. $q = -1$: Since $-1 > -2$, this satisfies the inequality.
2. $q = -6$: Since $-6 < -2$, this does not satisfy the inequality.
3. $q = -10$: Since $-10 < -2$, this does not satisfy the inequality.
4. $q = -12$: Since $-12 < -2$, this does not satisfy the inequality.

Thus, the only correct solution is $q = -1$.

Do you need more details or have any questions?

Here are some related questions to consider:

1. What happens if the inequality was $q \geq -2$?
2. How do inequalities change when you multiply or divide by a negative number?
3. Can we represent this inequality graphically on a number line?
4. How would the solution change if the inequality was $q \leq -2$?
5. What is the difference between strict inequalities and non-strict inequalities?

Tip: When solving inequalities, remember that multiplying or dividing both sides by a negative number reverses the inequality sign.