\(\frac{3x-6}{x+2}-x< 5\) ( ĐK : \(x\ne-2\) )
\(\Leftrightarrow\frac{3x-6-x^2-2x}{x+2}< \frac{5x+10}{x+2}\)
\(\Leftrightarrow\frac{-x^2-4x-16}{x+2}< 0\)
Ta thấy \(-x^2-4x-16=-12-\left(x+2\right)^2< 0\)
\(\Leftrightarrow x+2>0\Leftrightarrow x>-2\)
Vậy \(x>-2\)