Question

List the elements of $A\cap B$, if $A=\{$ Odd numbers $\},B=\{$ Even numbers $\}$ .

Answer 1

Find the intersection of given sets:

Given, the two set $A=\{$ Odd numbers $\},B=\{$ Even numbers $\}$

We know that, intersection of sets is the set of elements which are common in all the given sets.

Since, a number can be either an even number or an odd number,

$\therefore$In the given two sets $A$ and $B$ there does not exists any common element.

Hence, $A\cap B=$$\mathrm{\varphi }$.