\(B=\left|x-2021\right|+\left|x-2012\right|+\left|x-2014\right|\)
\(=\left|x-2012\right|+\left|2014-x\right|+\left|x-2010\right|\)
\(\ge\left|x-2012\right|+\left|2014-x+x-2010\right|\)
\(=\left|x-2012\right|+4\)
\(\text{Vì }\left|x-2012\right|\ge0\forall x\)
\(\Rightarrow\left|x-2012\right|+4\ge4\forall x\)
\(\text{Dấu "=" xảy ra}\Leftrightarrow x=2012\)
\(\text{Vậy MIN A=4}\Leftrightarrow x=2012\)
Có j sai thì mik xl nhá