If ∪ = set of natural numbers up to 15, A = set of even numbers up to 15 and B = set of odd numbers up to 15, then find A' ∪ B'?
Answer: ∪
Explanation
Given:
∪ = {1, 2, 3, ..., 15}
A = {2, 4, 6, ..., 14}
B = {1, 3, 5, ..., 15}
A' = ∪ - A = {1, 3, 5, ..., 15} = B
B' = ∪ - B = {2, 4, 6, ..., 14} = A
A' ∪ B' = B ∪ A = ∪ (since B and A are complementary sets that together form ∪)
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