A = {1, 2, 3} and B = {3, 8}, then (A ∪ B) × (A ∩ B) is. | MATH - SET THEORY | SolveeIt | Solveeit

Today, August 24

Question

A = {1, 2, 3} and B = {3, 8}, then (A ∪ B) × (A ∩ B) is.

A

{(3, 1), (3, 2), (3, 3), (3, 8)}

B

{(1, 3), (2, 3), (3, 3), (8, 3)}

C

{(1, 2), (2, 2), (3, 3), (8, 8)}

D

{(8, 3), (8, 2), (8, 1), (8, 8)}

Answer

{(1, 3), (2, 3), (3, 3), (8, 3)}

Explanation

Solution

$A \cap B = \{ 3 \}$

$( A \cup B ) \times ( A \cap B ) = \{ ( 1,3 ) , ( 2,3 ) , ( 3,3 ) , ( 8,3 ) \}$ .