When to use union in interval notation?
Understand the Problem
The question is asking about the conditions or scenarios in which the union operator is applied when using interval notation. This generally relates to combining two or more intervals that do not overlap or are distinct from each other, thereby creating a new interval representation that includes all values from the combined intervals.
Answer
To combine multiple intervals into one set.
The final answer is when you want to combine multiple intervals into one set.
Answer for screen readers
The final answer is when you want to combine multiple intervals into one set.
More Information
In interval notation, the union symbol (∪) is used to represent all values in either of the given sets of intervals. This helps in easily identifying the combined range of values.
Tips
A common mistake is to use the union symbol when there is only a single interval containing the solutions. Always check if multiple intervals need to be combined before using the union symbol.
Sources
- Standard Notation for Domain and Range - Lumen Learning - courses.lumenlearning.com
- Interval notation - Math.net - math.net
- Why is union sign not allowed to denote intervals of function increasing - Math Stack Exchange - math.stackexchange.com
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