https://file.aiquickdraw.com/mathbot/file/1727977503283i6cfq4xd.jpg

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.

Which of the following are solutions to the inequality -2 < q? Select all that apply.

Learn how to solve the inequality -2 < q and identify which values of q satisfy the condition. This problem tests understanding of inequalities and number line concepts, suitable for students in Grades 6-8.

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