If then (A \times ( B \cap C )) is | MATH - SET THEORY | SolveeIt | Solveeit

Today, August 18

Question

If then

$A \times ( B \cap C )$ 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)}

Answer

{(2, 4), (3, 4)}

Explanation

Solution

Clearly, A = {2, 3}, B = {2, 4}, C = {4, 5}

B ∩ C = {4}

$\therefore$ A × (B ∩ C) = {(2, 4), (3, 4)}.