Question

2x-1 tudo sobre1-x≥2

Answer 1

$\mathrm{\cfrac{2x-1}{1-x}\geq-2\ \to\ \cfrac{2x-1}{1-x}+2\geq-2+2}\\\\ \mathrm{\cfrac{2x-1}{1-x}+\cfrac{2}{1}\geq0\ \to\ \cfrac{2x-1+2(1-x)}{1-x}\geq0}\\\\ \mathrm{\cfrac{2x-1+2-2x}{1-x}\geq0\ \to\ \cfrac{1}{1-x}\geq0}\\\\ \mathrm{1-x\ \textgreater \ 0\ \to\ 1\ \textgreater \ x}\ \to\ \mathbf{x\ \textless \ 1}$