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Condition : \(\left|x-1\right|\ge0\Rightarrow2x-4\ge0\Rightarrow x\ge2\)
We have : \(x\ge2\Rightarrow x-1\ge1>0\Rightarrow\left|x-1\right|=x-1\)
\(\Rightarrow x-1=2x-4\Rightarrow2x-x=-1+4\Rightarrow x=3\) (satisfied)
Selected by MathYouLike
Condition : \(\left|x-1\right|\ge0\Rightarrow2x-4\ge0\Rightarrow x\ge2\)
We have : \(x\ge2\Rightarrow x-1\ge1>0\Rightarrow\left|x-1\right|=x-1\)
\(\Rightarrow x-1=2x-4\Rightarrow2x-x=-1+4\Rightarrow x=3\) (satisfied)
Selected by MathYouLike