Tìm [tex]x \in Z sao cho (x^2 + 1)(x + 1)(x - 4)<0[/tex]
-Ta có: [tex](x^{2}+1)> 0[/tex]
-Để: [tex]\left ( x^{2}+1 \right )(x+1)(x-4)< 0[/tex]
[tex]\Rightarrow \left\{\begin{matrix} x+1>0 & \\ x-4<0 & \Rightarrow \left\{\begin{matrix} x>-1 & \\ x<4& \end{matrix}\right. \end{matrix}\right.[/tex]
$\Rightarrow -1<x<4$
-Hoặc:
[tex]\Rightarrow \left\{\begin{matrix} x+1<0 & \\ x-4>0& \Rightarrow \left\{\begin{matrix} x<1 & \\ x>4 & (Vô lí) \end{matrix}\right. \end{matrix}\right.[/tex]
-Vậy....