Question

Tìm x :
(x-2016).(x+2017)>0

Answer 1

\((x-2016)(x+2017)>0 \)

Suy ra x-2016 và x+2017 cùng dấu

Xét \(\left\{\begin{matrix}x-2016>0\\x+2017< 0\end{matrix}\right.\)\(\Rightarrow\left\{\begin{matrix}x>2016\\x< -2017\end{matrix}\right.\)

Xét \(\left\{\begin{matrix}x-2016< 0\\x+2017>0\end{matrix}\right.\)\(\Rightarrow\left\{\begin{matrix}x< 2016\\x>-2017\end{matrix}\right.\)

Vậy \(\left\{\begin{matrix}x>2016\\x< -2017\end{matrix}\right.\)