Find all whole numbers n such that 2n > 30 and 5n < 100.

The problem states that $2n$ is greater than 30.

$$2n > 30$$

Divide both sides by 2:

$$n > \frac{30}{2}$$ $$n > 15$$

The problem states that $5n$ is less than 100.

$$5n < 100$$

Divide both sides by 5:

$$n < \frac{100}{5}$$ $$n < 20$$

We have two conditions for n: $n > 15$ and $n < 20$.
This can be written as a single compound inequality:

$$15 < n < 20$$

A whole number is a non-negative integer. We need to find all integers strictly between 15 and 20.
These numbers are 16, 17, 18, and 19.

The numbers that n stands for are $16, 17, 18, 19$.