Ta có :
\(\left\{{}\begin{matrix}\left|x-1\right|\ge0\\\left|x-2\right|\ge0\\\left|x-3\right|\ge0\end{matrix}\right.\)
\(\Leftrightarrow\left|x-1\right|+\left|x-2\right|+\left|x-3\right|\ge0\)
\(\Leftrightarrow x-4\ge0\)
\(\Leftrightarrow x\ge4\)
\(\Leftrightarrow\left(x-1\right)+\left(x-2\right)+\left(x-3\right)=x-4\)
\(\Leftrightarrow3x+\left[\left(-1\right)+\left(-2\right)+\left(-3\right)\right]=x-4\)
\(\Leftrightarrow3x-6=x-4\)
\(\Leftrightarrow3x-x=-4+6\)
\(\Leftrightarrow2x=2\)
\(\Leftrightarrow x=1\left(loại\right)\)
Vậy ..........
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