Set Theoryhard
0:00.0

Let U={1,2,3,4,5}U = \{1, 2, 3, 4, 5\} be the universal set. Consider the sets A={(x,y)U×U:x+y is prime}A = \{(x, y) \in U \times U : x+y \text{ is prime}\} and B={(x,y)U×U:xy is even}B = \{(x, y) \in U \times U : x \cdot y \text{ is even}\}. Determine the cardinality of the set ABA \cap B'.