Question

Fie x € Z. Determinați valorile lui x pentru care (3x²+2)×(|x-2|-1)<0.​

Answer 1

$\it \underbrace{(3x^2+2)}_{>0}(|x-2|-1)<0 \Rightarrow |x-2|-1<0 \Rightarrow |x-2|<1 \Rightarrow \\ \\ \\ \Rightarrow -1<x-2<1|_{+2} \Rightarrow 1<x<3 \ \stackrel{x\in\mathbb{Z}}{\Longrightarrow}\ x=2$