The number line in the image shows an interval between $-8$ and $-2$, where the endpoints are represented by open circles. Open circles indicate that the endpoints $-8$ and $-2$ are not included in the solution set. This suggests a strict inequality.

Thus, the correct solution set corresponds to: $x > -8 \text{ and } x < -2$

This matches option A:
A. x > -8 and x < -2

Would you like further details or have any questions?

Here are some related questions:

1. What is the difference between open and closed intervals?
2. How do we express intervals with inequalities?
3. Can you graph the interval $x \geq -8$ and $x \leq -2$?
4. How are inequalities represented on a number line?
5. What are the applications of interval notation in real-life problems?

Tip: Open circles on a number line always represent strict inequalities (i.e., $<$ or $>$).