Could someone point out what I'm doing wrong here please:

$\displaystyle \frac{3}{x+1} <\frac{2}{x} $

$\displaystyle \frac{3}{x+1} - \frac{2}{x} <0 $

$\displaystyle \frac{x-2}{x(x+1)} <0 $

From there I know that the function =0 when x=2

So I know that the function is less than 0 when x<2

But this is wrong according to the answers.

Help appreciated!