Q. For any two sets $A$ and $B$, $A - (A - B)$ equals
A) $A$
B) $A - B$
C) $A \cap B$
D) $A^{C} \cap B^{C}$
Explanation
(c)
Now, $A - (A - B) = A - (A - B^{C})$
$= A{\cap \left( A \cap B^{C} \right)}^{C}$
$= A \cap (A^{C} \cup B)$
$= \left( A \cap A^{C} \right) \cup (A \cap B)$
$= A \cap B$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.