Math problem

I assume you want this solved for $x$

$5x > 2x-1 \\ 0 > -3x - 1 \\ 1>-3x \\ x > -\dfrac 1 3 ~~~\mbox{note the inequality was flipped when dividing by }-1 \\ 2x - 1 < 3 \\ 2x < 4 \\ x < 2 \\ \mbox{combining these results we get } -\dfrac 1 3 < x < 2$