The interval between 7 and -2 can be represented in a few ways, depending on the type of interval you want:

1. Closed interval: This includes both endpoints, 7 and -2. $[-2, 7]$ This means all numbers between -2 and 7, including -2 and 7 themselves.

2. Open interval: This excludes both endpoints, meaning it only includes the numbers strictly between -2 and 7. $(-2, 7)$

3. Half-open (or half-closed) intervals:

   • Including -2 but excluding 7: $(-2, 7]$
   • Including 7 but excluding -2: $[-2, 7)$

Additional Details

The distance between -2 and 7 can be calculated as: $|7 - (-2)| = |7 + 2| = 9$ So, the length of the interval is 9 units.

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Related Questions:

1. What are the different types of intervals and how are they used?
2. How do you calculate the length of an interval on a number line?
3. Can you explain how to express an interval using inequalities?
4. What is the difference between open and closed intervals?
5. How are intervals used in solving inequalities?

Tip: Always remember that intervals describe the set of numbers between two endpoints, and the type of interval tells you whether the endpoints are included or excluded.