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The question asks to select the compound inequality and graph that best represents the statement: "A quantity \( x \) that is greater than \(-2\) and less than \(3\)."

The correct inequality is:

\[
-2 < x < 3
\]

This means \( x \) is in between \(-2\) and \(3\), but not equal to either of these values.

To match this inequality with a graph:
- The number line should show an open circle at \(-2\) and an open circle at \(3\), indicating that \( x \) does not include \(-2\) and \(3\).
- The line segment between \(-2\) and \(3\) should be shaded to indicate that \( x \) includes all the values between these two points.

Now, refer to the answer choices A, B, C, D, and E provided on your interface and choose the one that matches this description.

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:

1. What does it mean when an inequality uses a less than or greater than sign versus less than or equal to or greater than or equal to?
2. How would you represent the inequality \( x > 5 \) on a number line?
3. How do compound inequalities differ from simple inequalities?
4. What changes in the graph if the inequality is \(-2 \leq x < 3\) instead of \(-2 < x < 3\)?
5. How do you solve and graph compound inequalities with "or" instead of "and"?

**Tip:** Always remember that open circles on a number line mean that the endpoint is not included in the solution, while closed circles mean that the endpoint is included.

Select the compound inequality and graph that best represents the statement: A quantity x that is greater than -2 and less than 3.

This problem asks you to solve the compound inequality where x is greater than -2 and less than 3. The solution involves understanding how to represent the inequality on a number line, including open circles at the endpoints -2 and 3. Suitable for students in Grades 7-8.

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