The compound inequality given is:

\[
-2 < x < 3
\]

This inequality states that \(x\) is a number greater than \(-2\) and less than \(3\).

### Interval Notation:
The solution can also be expressed in interval notation as:

\[
(-2, 3)
\]

This means \(x\) can take any value between \(-2\) and \(3\), but not including \(-2\) and \(3\).

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

Here are some related questions:
1. How would you solve a compound inequality that includes "or" instead of "and"?
2. What does it mean when a compound inequality includes \(\leq\) or \(\geq\) symbols?
3. How would you represent the solution of this inequality on a number line?
4. Can you solve an inequality that involves absolute values?
5. How would the solution change if the inequality were \(x \leq 3\) and \(x \geq -2\)?

**Tip:** Remember that in compound inequalities with "and," the solution is the intersection of the two conditions, meaning it includes values that satisfy both inequalities.

Explore how to solve the compound inequality x < 3 and x > -2. Understand the intersection of inequalities and how to express the solution in interval notation. This guide is suitable for students in Grades 6-8 and covers essential algebraic concepts related to compound inequalities.

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