The solution to the union operation is given as follows:
C U D = (-∞, ∞).
The solution to the intersection operation is given as follows:
C ∩ D = [3, 7).
How to obtain the union of the sets?
The sets are given as follows:
- Set C: numbers that are greater than or equals to 3.
- Set D: numbers that are less than 7.
The union operation between these two sets is composed by all the values that respect at least one of these conditions, hence it is given by all real values, and the interval is:
C U D = (-∞, ∞).
How to obtain the intersection of the sets?
The intersection operation gives as a result the elements that belong to both sets, hence the bounds of the interval are given as follows:
- Closed at y = 3, as y = 3 belong to both sets.
- Open at y = 7, as y = 7 does not belong to set D.
Hence the interval notation of the intersection operation is of:
C ∩ D = [3, 7).
More can be learned about the union and intersection of sets at https://brainly.com/question/4699996
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