Vì x - 2 < x + 5
nên \(\left\{{}\begin{matrix}x\text{-}2\text{ < 0}\\x\text{+}5>0\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x< 2\\x>\text{ −}5\end{matrix}\right.\)
=>−5<x<2
=>x e \(\left\{1,0,\text{−}1,\text{−}2,\text{−}3,\text{−}4\right\}\)
vậy ...........................................
(x-2)(x+5)<0
=>x-2 và x+5 trái dấu
Mà x-2<x+5
=>\(\left\{{}\begin{matrix}x-2< 0\\x+5>0\end{matrix}\right.\)=>\(\left\{{}\begin{matrix}x< 2\\x>-5\end{matrix}\right.\)=>-5<x<2
=>x E {-4;-3;-2;-1;0;1}