Ta có: \(\left\{{}\begin{matrix}\left|x-2016\right|\ge0\\2015=2015\end{matrix}\right.\)
\(\Rightarrow\left|x-2016\right|+2015\ge0+2015\)
\(\Rightarrow A\ge2015\)
Dấu "=" xảy ra \(\Leftrightarrow\left|x-2016\right|=0\)
\(\Leftrightarrow x-2016=0\)
\(\Leftrightarrow x=2016\)
Vậy GTNN của A là 2015\(\Leftrightarrow x=2016\)