Easy# Range of Solutions for Chinese Remainder Theorem

ABSALG-SGQNAI

Let $p,q,r$ be distinct prime numbers. In which of the following ranges must the smallest positive solution $n$ to the congruences:

$$n \equiv 2 \pmod{p}, n \equiv 3 \pmod{q}, n \equiv 5 \pmod{r}$$

...lie?