Question

Find the number of whole numbers in the solution set of following

$x-5<-2$

Answer 1

$x-5<-2$
$x<-2+5$
$x<3$
As $x\in W$ there are only three natural numbers, $0,1$ and $2$ which are less than $3$, hence
Set $x=\{0,1,2\}$
Ans. numbers of integers in the set $x$ is $3$