If A, B, C are three sets, then A ∩ (B ∪ C) is equal to. | MATH - SET THEORY | SolveeIt | Solveeit

Today, August 18

Question

If A, B, C are three sets, then A ∩ (B ∪ C) is equal to.

A

(A ∪ B) ∩ (A ∪ C)

B

(A ∩ B) ∪ (A ∩ C)

C

(A ∪ B) ∪ (A ∪ C)

D

None of these

Answer

(A ∩ B) ∪ (A ∩ C)

Explanation

Solution

From Distributive law,

$A \cap ( B \cup C ) = ( A \cap B ) \cup ( A \cap C )$ .