Math Problem Statement
Write the set of points from −5 to −1 but excluding −2 and −1 as a union of intervals:
Solution
The set of points from to but excluding and can be written as the following union of intervals:
This represents the interval from to (excluding ), and the interval from just after to (excluding ).
Would you like any more details or have any questions?
Here are 5 related questions to explore further:
- How do you represent the union of intervals graphically on a number line?
- What is the difference between open and closed intervals?
- How would the interval notation change if were included?
- What is the difference between union and intersection of intervals?
- 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).
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Math Problem Analysis
Mathematical Concepts
Intervals
Set Theory
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12