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Set Theorymedium
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Let U={1,2,3,4,5,6,7,8,9,10}U = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}U={1,2,3,4,5,6,7,8,9,10} be the universal set. Define A={x∈U∣xextisprime}A = \{x \in U \mid x ext{ is prime}\}A={x∈U∣xextisprime} and B={x∈U∣xextisamultipleof3}B = \{x \in U \mid x ext{ is a multiple of } 3\}B={x∈U∣xextisamultipleof3}. What is the cardinality of the set (A∪B)∖(A∩B)(A \cup B) \setminus (A \cap B)(A∪B)∖(A∩B)?