https://file.aiquickdraw.com/mathbot/file/1726604759554omzm7m65.jpg

The graph in the image represents a compound inequality based on a number line. The shading appears to cover the interval between -8 and -2, inclusive of both endpoints, as indicated by the closed circles at -8 and -2.

### The compound inequality is:
\[
-8 \leq x \leq -2
\]

This compound inequality can also be written using two separate inequalities, combined with "and":
\[
x \geq -8 \quad \text{and} \quad x \leq -2
\]

Would you like further details or explanations? Here are some related questions:

1. What is a compound inequality, and how does it differ from a regular inequality?
2. How do you graph compound inequalities on a number line?
3. Why do closed circles on a number line indicate inclusion of the endpoint?
4. How would the inequality change if the circles were open instead of closed?
5. How can compound inequalities be used to model real-world problems?

**Tip:** Always remember that closed circles indicate "inclusive" inequalities (≤ or ≥), while open circles represent strict inequalities (< or >).

Write a compound inequality that is represented by the graph.

Learn how to write a compound inequality from a number line representation, using closed intervals. This problem involves algebraic concepts, including compound inequalities and their graphical representation on a number line. Suitable for students in Grades 6-8.

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