$2x^2-|x^2-2x|≥5x-2$
$\Leftrightarrow |x^2-2x|≤2x^2-5x+2$
$\Leftrightarrow \left\{ \begin{array}{l}x^2-2x≤2x^2-5x+2\\x^2-2x≥-2x^2+5x-2\end{array} \right.$
$\Leftrightarrow \left\{ \begin{array}{l}-x^2+3x-2≤0\\3x^2-7x+2≥0\end{array} \right.$
$\Leftrightarrow \left\{ \begin{array}{l}x≤1 hay x≥2\\x≤\frac{1}{3} hay x≥2\end{array} \right.$
$\Leftrightarrow x≤\frac{1}{3}$ hay $x≥2$
