Question

If $A\subseteq B$, then $A\cap B$ is equal to

• A. $A$
• B. $B$
• C. $A^{\prime }$
• D. $B^{\prime }$

Answer 1

The correct option is A $A$

If $A\subseteq B$ that means A is subset of B. All elements are in A is also contained in B but all elements of B is not contained in A.
So, $A\cap B$ means the common elements in both. Only all elements of are common in both A and B.
So, $A\cap B=A$