Question

State the following set is finite or infinite.

M = {$r$ : $r=\frac{3}{n}$ ; $nϵW$ and $6<n\le 15$}

If the answer is finite then write $1$ else write $0$.

Answer 1

Since $n$ is a whole number, possible values of $n$ satisfying the condition $6<n\le 15$ are $7,8,9,10,11,12,13,14,15$ and the corresponding values of $r$ are also finite.
Since the set has $9$ elements, set M is a finite set.