Question

State the following set is finite or infinite:

P = {$y$ : $y=3x-2$, $xϵN$ and $x>5$}

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

Answer 1

There are many natural numbers satisfying $x>5$ and hence we will get many corresponding values of $y=3x-2$
So, we get infinite number of values for $y$.
Hence, the set $P$ is an infinite set.