Set Theoryhard
0:00.0

Let U={1,2,,60}U = \{1, 2, \dots, 60\} be the universal set. Let A={xU:x is a multiple of 2}A = \{x \in U : x \text{ is a multiple of } 2\}, B={xU:x is a multiple of 3}B = \{x \in U : x \text{ is a multiple of } 3\}, and C={xU:x is a multiple of 5}C = \{x \in U : x \text{ is a multiple of } 5\}. Determine the cardinality of the set (AB)(CB)(A \setminus B) \cup (C \setminus B).