Question

If $A=\{6,7,8,9\}$ and $B=\{0,1,3,4,5\}$, then $A\cap B$ is

• A. $\varphi$
• B. $\{6,7,8,9\}$
• C. $\{1,2,3,4,5,6,7,8,9\}$
• D. None of the above

Answer 1

The correct option is A $\varphi$

$A\cap B=B\cap A=$ the elements which are common in both A and B.

Since no element is common in $A$ and $B$

Hence $A\cap B=B\cap A$ $=\varphi$