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Set Theoryhard
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Let U={1,2,…,60}U = \{1, 2, \dots, 60\}U={1,2,…,60} be the universal set. 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}, 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}, and C={x∈U:x is a multiple of 5}C = \{x \in U : x \text{ is a multiple of } 5\}C={x∈U:x is a multiple of 5}. Determine the cardinality of the set (A∖B)∪(C∖B)(A \setminus B) \cup (C \setminus B)(A∖B)∪(C∖B).