https://file.aiquickdraw.com/mathbot/file/1729619939241asolyux7.jpg

The graph shows two filled circles on -2 and 5, which means the variable \( x \) is between -2 and 5, inclusive. The compound inequality that represents this graph is:

\[
-2 \leq x \leq 5
\]

This inequality indicates that \( x \) can take any value from -2 to 5, including -2 and 5 themselves.

Would you like more details, or do you have any questions?

Here are some related questions:
1. How would the compound inequality change if the circles were open instead of filled?
2. Can you write a compound inequality if the variable is outside the range of -2 and 5?
3. What is the difference between "and" and "or" in compound inequalities?
4. How would the solution set look if the compound inequality was \( -2 < x < 5 \)?
5. How can you graph an inequality such as \( x > 3 \) on a number line?

**Tip:** A filled circle on a number line means the endpoint is included (≤ or ≥), while an open circle means the endpoint is not included (< or >).

Write a compound inequality for the graph shown below. Use x for your variable.

Learn how to write a compound inequality based on a number line graph. The graph shows x between -2 and 5, inclusive, which leads to the inequality -2 ≤ x ≤ 5. Suitable for middle school math students.

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