Question

If $A=\{1,2,3\},B=\{4,5\},$ then find $A\cap B$.

• A. $\{1,2,3,4,5\}$
• B. $\varphi$
• C. $\{4,5\}$
• D. $\{1,2,3\}$

Answer 1

The correct option is B $\varphi$

Given, $A=\{1,2,3\}$ and $B=\{4,5\}$

To find $A\cap B$

We know $A\cap B$ is intersection of set A and set B giving out common elements of both sets.

Since $A$ and $B$ have no common elements,

$A\cap B=\varphi$.