Question

Check whether the sets $A$ and $B$ are disjoint:
$A$ is the set of all even positive integers, $B$ is the set of all prime numbers

Answer 1

$A=\{2,4,6,8,\mathrm{10.........}\}$

$B=\{2,3,5,7,11,..........\}$

Set A and B are said to be disjoint if $A\cap B=\varphi$

$A\cap B=\left\{2\right\}$

So, A and B are not disjoint.