Question

Tìm x, biết:

1 (x-3).(x-1)<1

2 (x+2).(x+3)>0

Answer 1

2. \(\left(x+2\right).\left(x+3\right)>0\)

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