https://file.aiquickdraw.com/mathbot/file/17265136439623uhj91h2.jpg

Use the image to answer the question:

Select the solution set represented on the graph.  A. x > -8 and x < -2   B. x ≥ - 8 and x ≤ -2  C. x ≥ - 8 or x ≤ -2  D. x > - 8 or x < -2

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 \( > \)).

Select the solution set represented on the graph: A. x > -8 and x < -2 B. x ≥ - 8 and x ≤ -2 C. x ≥ - 8 or x ≤ -2 D. x > - 8 or x < -2

Learn how to interpret the inequality solution set represented on a number line. The graph depicts an open interval between -8 and -2, corresponding to the solution set x > -8 and x < -2. This problem helps students in Grades 6-8 understand how inequalities are shown on a number line.

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