Solve the inequality x-3/2<3/2-x

The answer is 2

Do you mean?.

x\ -\ \frac{3}{2}\ <\ \frac{3}{2}\ -\ x

or

\frac{x-3}{2}\ <\ \frac{3}{2-x}

(My money's on the latter.)

Well, 2 isn't an answer for the first choice.

It's also <2, not 2. Bit of a difference. 2 would make it undefined.

Can you show us what work you've attempted on it?