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Let P = {4, 5, 6, 7, 8}, Q = {5, 6, 7}, and R = {1, 2}.

Find upper P union upper Q.
A. {1, 2, 4, 5, 6, 7, 8}
B. {5, 6, 7}
C. {4, 5, 6, 7, 8}
D. empty set

1 Answer

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Final answer:

The union of sets P and Q, written as upper P union upper Q, combines elements from both sets without duplicates. The resulting set is {4, 5, 6, 7, 8}, which matches Option C.

Step-by-step explanation:

The question is asking to find upper P union upper Q, where P = {4, 5, 6, 7, 8} and Q = {5, 6, 7}. The union of two sets is the set of elements that are in either set. To find the union, combine all the elements from both sets and remove any duplicates.

Upper P union upper Q = {4, 5, 6, 7, 8} ∪ {5, 6, 7} = {4, 5, 6, 7, 8}

The correct answer is Option C: {4, 5, 6, 7, 8}.

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