Q:

Show that $[3,2]=\emptyset$

Show that $[3,2]=\emptyset$ 
I don't know the meaning of the question. $\emptyset$ is the empty set and a closed interval $[a, b]$ is valid if $a<b$. What the question actually means and how to show this?

A:

$$[3,2] = \{ x \in \mathbb{R}| 3 \leq x \leq 2 \}= \emptyset$$
No number is greater or equal to $3$ and less than or equal to $2$ simultaneously.

