\(A=\left|3x-2016\right|-\left|3x+2016\right|=\left|3x-2016\right|-\left|2016+3x\right|\)
\(Áp\) \(dụng\) \(bất\) \(đẳng\) \(thức:\left|A\right|-\left|B\right|\le\left|A-B\right|\)
\(\Rightarrow A\le\left|3x-2016-2016-3x\right|=\left|-4032\right|\\ \Rightarrow A\le4032\)
\(Dấu\) \("="\) \(xảy\) \(ra\) \(khi\)