https://file.aiquickdraw.com/mathbot/file/1728184241157ztvk9tud.jpg

From the graph shown in the image, we observe the following intervals:

- There is an open circle at \(x = 2\), meaning \(x\) cannot equal 2.
- There is a filled-in circle at \(x = 5\), indicating that \(x = 5\) is included in the solution.
- The line between \(x = 2\) and \(x = 5\) is shaded, meaning \(x\) is in the interval between 2 and 5.

Thus, the compound inequality represented by this graph is:
\[
2 < x \leq 5
\]

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

Here are 5 related questions:
1. How do open and closed circles affect inequalities on a graph?
2. Can you explain the difference between "and" and "or" in compound inequalities?
3. How can you graph a solution set of inequalities on a number line?
4. What does it mean when an inequality is strict versus non-strict?
5. How do we solve inequalities involving absolute values?

**Tip:** When solving compound inequalities, always pay close attention to whether the inequality includes the boundary values or not (open vs. closed circles).

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

Learn how to write a compound inequality from a number line graph, focusing on interpreting open and closed circles and shaded regions. This problem is suitable for middle school students learning about inequalities.

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