If A = {x : x2 – 5x + 6 = 0}, B = {2, 4}, C = {4, 5} then A × (B ∩ C) is-
(A) {(2, 4), (3, 4)}
(B) {(4, 2), (4, 3)}
(C) {(2, 4), (3, 4), (4, 4)}
(D) {(2, 2), (3, 3), (4, 4), (5, 5)}
Correct option (A)
Explanation:
A = {2, 3}, B = {2, 4}, C = {4, 5}
B ∩ C = {4}
∴ A × (B ∩ C) = {(2, 4) , (3, 4)}.