|x - 2| + |x - 1995|
= |x - 2| + |-x + 1995| \(\ge\)|x - 2 - x 1995|
\(\Rightarrow\left|x-2\right|+\left|-x+1995\right|\ge\left|1993\right|=1993\)
\(\Rightarrow\left|x-2\right|+\left|x-1995\right|\ge1993\)
\(\Rightarrow Min_{\left|x-2\right|+\left|x-1995\right|}=1993\)