Question

State the following set is finite or infinite :

B = ($x$ : $xϵW$ and $5x-3\le 20$}

If it is finite then write $1$ else write $0$.

Answer 1

Given, $5x-3\le 20$
$\Rightarrow 5x\le 23$
$\Rightarrow x\le \frac{23}{5}$
$\Rightarrow x\le 4.6$
Since $x$ is a whole number, possible values of $x$ satisfying the above condition are $0,1,2,3,4$
Since the set has $4$ elements, set $B$ is a finite set.