Question

$(A-B)\cap (C-B)=$

• A. $(A-C)\cap B$
• B. $B-(A\cap C)$
• C. $(A\cap C)-B$
• D. $A\cap B\cap C$

Answer 1

The correct option is C

$(A\cap C)-B$

$(A-B)\cap (C-B)=(A\cap B^{\prime })\cap (C\cap B^{\prime })=A\cap (B^{\prime }\cap B^{\prime })\cap C=A\cap B^{\prime }\cap C=(A\cap C)\cap B^{\prime }=(A\cap C)-B$