\(A=\left|x-1,3\right|-4,8+\left|y-2,1\right|\)
Vì \(\left|x-1,3\right|+\left|y-2,1\right|\ge0\)
\(\Rightarrow\left|x-1,3\right|+\left|y-2,1\right|-4,8\ge-4,8\)
Dấu "=" xảy ra khi \(\left\{{}\begin{matrix}x-1,3=0\\y-2,1=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=1,3\\x=2,1\end{matrix}\right.\)
Vậy GTNN của A là \(-4,8\) khi \(x=1,3;y=2,1\)