Set Theorymedium
0:00.0

Let 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={xUxextisprime}A = \{x \in U \mid x ext{ is prime}\} and B={xUxextisamultipleof3}B = \{x \in U \mid x ext{ is a multiple of } 3\}. What is the cardinality of the set (AB)(AB)(A \cup B) \setminus (A \cap B)?