Людии помогите решитьнеравенство Х-(х+1/2)>(х-3/4)-(х-2/3)

Решите задачу:

$x-(x+\frac{1}{2})\ \textgreater \ (x-\frac{3}{4})-(x-\frac{2}{3})\\\\x-x-\frac{1}{2}\ \textgreater \ x-\frac{3}{4}-x+\frac{2}{3}\\\\-\frac{1}{2}\ \textgreater \ -\frac{3}{4}+\frac{2}{3}\\\\-\frac{1}{2}\ \textgreater \ -\frac{1}{12}\\\\\frac{1}{12}-\frac{1}{2}\ \textgreater \ 0\\\\-\frac{5}{12}\ \textgreater \ 0\; \; -\; \; nevernoe\; \; neravenstvo\; \; \Rightarrow \; \; net\; reshenij$