Ta thấy: \(\left\{{}\begin{matrix}x^2\ge0\\\left|y-2\right|\ge0\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x^2\ge0\\3\left|y-2\right|\ge0\end{matrix}\right.\)
\(\Rightarrow x^2+3\left|y-2\right|\ge0\)
\(\Rightarrow x^2+3\left|y-2\right|-1\ge-1\)
Xảy ra khi \(\left\{{}\begin{matrix}x^2=0\\3\left|y-2\right|=0\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x=0\\y=2\end{matrix}\right.\)