Q. If $A,\ B$ and $C$ are three sets such that $A \cap B = A \cap C$and $A \cup B = A \cup C$, then
A) $A = C$
B) $B = C$
C) $A \cap B = \phi$
D) $A = B$
Explanation
(b)
Given, $A \cap B = A \cap C$ and $A \cup B = A \cup C$
$\Rightarrow \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B = C$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.