\(x^2< x\)
\(\Rightarrow x^2-x< 0\)
\(\Rightarrow x\left(x-1\right)< 0\)
Với mọi \(x\in R\) ta có:\(x-1< x\)
Nên \(\left\{{}\begin{matrix}x>0\\x-1< 0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x>0\\x< 1\end{matrix}\right.\)
Xảy ra khi: \(0< x< 1\)