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U={1,2,3,4,5}, A={1,3}, (A∪B)′={4,5} and A∩B={3}. What is B?

A{1, 2}
B{3, 4}
C{2, 3}
D{1, 3}
Answer & Solution
Correct answer: C. {2, 3}
The union is {1, 2, 3}; B must supply 2 and share 3 with A, while excluding 1, 4 and 5, so B = {2, 3}.
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