Ta có: \(\left|x-y\right|+\left|x-1\right|\ge0\)
\(\Rightarrow A=\left|x-y\right|+\left|x-1\right|+2017\ge2017\)
Dấu " = " khi \(\left\{{}\begin{matrix}\left|x-y\right|=0\\\left|x-1\right|=0\end{matrix}\right.\Rightarrow x=y=1\)
Vậy \(MIN_A=2017\) khi x = y = 1