Problem: The cdf function

Problem

$X$ is a random variable with cumulative distribution function $F$ .

1. Is it possible that $F\left( 2 \right)>F(3)$ ?
2. Is it necessary that $F\left( 2 \right)<F(3)$ ?
3. Is it necessary that $F\left( 2 \right)≤F(3)$ ?
4. If $a<b$ is it then necessarily true that $F\left( a \right)≤F(b)$ ?
5. Is $F$ necessarily an increasing function?