Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Set Theoryhard
0:00.0

Let U={1,2,3,4,5}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}\}A={(x,y)∈U×U:x+y is prime} and B={(x,y)∈U×U:x⋅y is even}B = \{(x, y) \in U \times U : x \cdot y \text{ is even}\}B={(x,y)∈U×U:x⋅y is even}. Determine the cardinality of the set A∩B′A \cap B'A∩B′.