The interval between two numbers refers to the set of all numbers between them. In this case, between \( 7 \) and \( -2 \), the interval can be written in different forms depending on whether it's an **open**, **closed**, or **half-open/half-closed** interval.

1. **Closed interval**: Includes both endpoints.
   \[
   [-2, 7]
   \]
   This means the interval includes all numbers between \(-2\) and \(7\), including \(-2\) and \(7\) themselves.

2. **Open interval**: Excludes both endpoints.
   \[
   (-2, 7)
   \]
   This means the interval includes all numbers between \(-2\) and \(7\), but not \(-2\) or \(7\).

3. **Half-open intervals**: Include one endpoint but exclude the other.
   \[
   [-2, 7) \quad \text{or} \quad (-2, 7]
   \]
   In these cases, one endpoint is included while the other is excluded.

Would you like more details on these interval notations or how to apply them in a specific context?

Here are 5 related questions:
1. What is the difference between open and closed intervals?
2. How do you represent an interval that excludes both endpoints?
3. How do you calculate the length of an interval between two numbers?
4. What are the applications of intervals in calculus?
5. How do you interpret interval notation on a number line?

**Tip**: Always check whether endpoints are included when working with intervals—it can change the entire meaning of the solution.

Explore the interval between 7 and -2, explained through closed, open, and half-open intervals. This solution includes key mathematical concepts related to set theory and real numbers, suitable for students in Grades 7-10.

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