https://file.aiquickdraw.com/mathbot/file/1726143874755sjead90h.jpg

From the graph, we can see two key points:

- There is a filled dot at \(x = 2\), which means \(x = 2\) is included in the inequality.
- There is an open circle at \(x = 4\), which means \(x = 4\) is **not** included in the inequality.

The graph represents all values of \(x\) between 2 and 4, where 2 is included, and 4 is not.

Therefore, the compound inequality can be written as:

\[
2 \leq x < 4
\]

This represents the range of \(x\) values between 2 and 4, inclusive of 2 but excluding 4.

Would you like any further details or clarifications?

### Related Questions:
1. How do you solve compound inequalities involving "and" and "or"?
2. What is the difference between a filled dot and an open circle on a graph?
3. How do you represent inequalities on a number line?
4. Can compound inequalities have more than two parts?
5. How do absolute value inequalities relate to compound inequalities?

### Tip:
When interpreting graphs of inequalities, always pay attention to whether the dots are filled or open to understand if endpoints are included or excluded.

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

This problem explains how to write a compound inequality based on a number line graph. The inequality represents values of x between 2 and 4, inclusive of 2 and exclusive of 4. It covers essential concepts in inequalities, suitable for Grades 7-9.

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