https://file.aiquickdraw.com/mathbot/file/1726112540585h87ghje5.jpg

The compound inequality given in the image is:

\[
x \geq -334 \quad \text{and} \quad x \leq -333
\]

This represents the values of \(x\) that are between \(-334\) and \(-333\), inclusive of both endpoints.

### Graphing Instructions:
- You need to plot the segment between \(-334\) and \(-333\).
- Since \(x \geq -334\), you will use a **closed circle** at \(-334\) to indicate that this endpoint is included.
- Since \(x \leq -333\), you will also use a **closed circle** at \(-333\) to show inclusion of this endpoint.
- Draw a **segment** between \(-334\) and \(-333\), connecting the two points.

This forms a line segment that covers all the points between \(-334\) and \(-333\), including the endpoints.

Would you like further clarification or details?

### Related Questions:
1. How would the graph change if the inequality were \(x > -334\) instead of \(x \geq -334\)?
2. What is the difference between graphing a ray and graphing a segment?
3. How do you graph compound inequalities with "or" instead of "and"?
4. Can this inequality be expressed as a single interval notation?
5. What are the steps for solving compound inequalities algebraically?

**Tip:** When graphing compound inequalities, always check whether to use open or closed circles depending on whether the inequalities are strict or not!

Graph the compound inequality: x ≥ -334 and x ≤ -333

Learn how to graph the compound inequality x ≥ -334 and x ≤ -333. This lesson covers how to represent the inequality on a number line by plotting closed circles and a segment between -334 and -333. Suitable for students in Grades 7-9.

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