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Set Theoryhard
0:00.0

Let U={1,2,…,20}U = \{1, 2, \dots, 20\}U={1,2,…,20}. Let A={x∈U:x is a multiple of 2}A = \{x \in U : x \text{ is a multiple of } 2\}A={x∈U:x is a multiple of 2} and B={x∈U:x is a multiple of 3}B = \{x \in U : x \text{ is a multiple of } 3\}B={x∈U:x is a multiple of 3}. How many elements are in (A∪B)′(A \cup B)'(A∪B)′?