Question: If A ={(x : x ∈ W, x < 2}, B = {x : x ∈ N, 1 < x < 5} and C = 3, 5, then A × (B ∩ C) = _________.
Solution:
A = {x : x∈ W ; x < 2y = {0, 1}
B = {x : x∈ N ; 1 < x < 5} = {2, 3, 4}
C = {3, 5}
Then B ∩ C = {3}
$\therefore A \times(B \cap C)=\{(0,3),(1,3)\}$