There are between 100 and 200 students signed up for band. Let n represent the number of students signed up for band. Write an interval that represents the possible values for n.

To represent the scenario where the number of students signed up for the band is between 100 and 200, you can write the interval as:

\[ 100 \leq n \leq 200 \]

This interval indicates that the number of students, \( n \), is greater than or equal to 100 and less than or equal to 200.

Would you like more details or have any questions? Here are some related questions to consider:

1. How would the interval change if the number of students is strictly between 100 and 200?
2. What is the difference between open and closed intervals?
3. How can you represent this interval on a number line?
4. What if the number of students is less than 100 or greater than 200?
5. How would you write the interval if there were exactly 150 students?
6. How can you use interval notation to represent inequalities with more than two conditions?
7. What does it mean if the interval includes infinity?
8. How do you interpret interval notation in the context of a real-world problem?

**Tip:** When writing intervals, use square brackets [ ] to indicate that the endpoints are included (closed interval) and parentheses ( ) to indicate that the endpoints are not included (open interval).

Explore how to represent intervals in mathematics with the example of students signed up for band between 100 and 200. Learn about interval notation and its application in defining ranges of values. Suitable for Grades 7-9.

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