solve the inequality 3x-2 < x+4/x-2.

please help

If you want the correct problem to be solved, you need to put parentheses around ALL numerators and denominators.

For example, x+4/x-2 = x + (4/x) -2 because of the priority of division over addition and subtraction.

x+4/x-2 does not mean at all (x+4)/(x-2)

So can you confirm which problem you are trying to solve?

3x-2 < x+4/x-2
or
3x-2 < (x+4)/(x-2)