Question

Which of the following sets are pairs of disjoint sets? Justify your answer :
$J=\{x:x\in Nxiseven\}$ and $K=\{x:x\in N,xisodd\}$

Answer 1

$J=\{x:x\in N,xiseven\}$

$K=\{x:x\in N,xisodd\}$

$J=\{2,4,6,\mathrm{8.......}\}$

$K=\{1,3,5,7,........\}$

Since, even numbers and odd numbers are all different, so there is nothing in common

So, $J\cap K=\varphi$