Question

x+2/x-3 <0

Answer 1

=>x+2>0 và x-3<0

=>-2<x<3

Answer 2

`(x+2)/(x-3) <0`

`<=>`\(\left[{}\begin{matrix}\left\{{}\begin{matrix}x+2>0\\x-3< 0\end{matrix}\right.\\\left\{{}\begin{matrix}x+2< 0\\x-3>0\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x>-2\\x< 3\end{matrix}\right.\\\left\{{}\begin{matrix}x< -2\\x>3\end{matrix}\right.\end{matrix}\right.\)

`<=>`\(\left[{}\begin{matrix}-2< x< 3\\x\in\varnothing\end{matrix}\right.\)

`=> -2 <x<3`