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

Given that the number of students signed up for the band is between 100 and 200, we can represent the possible values for \( n \) (where \( n \) represents the number of students) using an interval.

The interval can be written as:

\[
100 \leq n \leq 200
\]

This interval includes all possible values for \( n \) between 100 and 200, inclusive.

Do you want further details or have any questions?

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Here are 8 related questions to consider:
1. How would you write an inequality for a situation where there are more than 150 students signed up for band?
2. What is the midpoint of the interval \( 100 \leq n \leq 200 \)?
3. If the number of students signed up for band is an odd number, how does this affect the interval?
4. How would you represent the interval if the number of students is at least 120 but less than 180?
5. How would the interval change if the minimum number of students is increased to 130?
6. What does the interval notation tell us about the possible number of students?
7. If 90 more students sign up, how would that affect the interval?
8. How would you write this interval if the number of students must be a multiple of 5?

**Tip:** When dealing with intervals, always consider whether the endpoints are included or excluded, which is indicated by using brackets or parentheses.

Explore how intervals represent the number of students signed up for band between 100 and 200. Learn about inequalities and interval notation in mathematics. Suitable for Grades 6-8.

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