Áp dụng BĐT \(\left|a\right|+\left|b\right|\ge\left|a+b\right|\) ta có:
\(C=\left|x-2013\right|+\left|x-2014\right|\)
\(=\left|x-2013\right|+\left|2014-x\right|\)
\(\ge\left|x-2013+2014-x\right|=1\)
Dấu "=" khi \(2013\le x\le2014\)
Vậy \(Min_C=1\) khi \(2013\le x\le2014\)