Question

For three sets $A,B\&C,$
$A\cap (B\cup C)=$

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

Answer 1

The correct option is A $(A\cap B)\cup (A\cap C)$

Here, for three sets $A,B,C$ by distributive property:
$A\cap (B\cup C)=(A\cap B)\cup (A\cap C)$