Question

Let $A,B$ be two sets such that $A\cap B=\varphi$, then $A=\varphi$ and $B=\varphi$?

• A. True
• B. False

Answer 1

The correct option is B False

For two sets $A,B$ if $A\cap B=\varphi$ then it is not necessary that $A=\varphi$ and $B=\varphi$.

For example,

Let $A=\{1,2,3\}$ and $B=\{4,5,6\}$.

Now $A\cap B=\varphi$ still $A\ne \varphi$ and $B\ne \varphi$.