Write the set of points from −5
to −1
but excluding −2
and −1
as a union of intervals:

The set of points from \(-5\) to \(-1\) but excluding \(-2\) and \(-1\) can be written as the following union of intervals:

\[
[-5, -2) \cup (-2, -1)
\]

This represents the interval from \(-5\) to \(-2\) (excluding \(-2\)), and the interval from just after \(-2\) to \(-1\) (excluding \(-1\)).

Would you like any more details or have any questions?

Here are 5 related questions to explore further:
1. How do you represent the union of intervals graphically on a number line?
2. What is the difference between open and closed intervals?
3. How would the interval notation change if \(-2\) were included?
4. What is the difference between union and intersection of intervals?
5. How can set-builder notation be used to represent the same set?

**Tip:** When working with intervals, remember that square brackets \([ \, ]\) indicate that the endpoints are included (closed interval), while parentheses \(( \, )\) indicate that the endpoints are not included (open interval).

Explore the union of intervals from -5 to -1 excluding -2 and -1. Understand interval notation, including open and closed intervals. Learn how to represent such sets using mathematical notation and set-builder notation. Suitable for Grades 9-12.

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