Question

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Answer 1

\(a,\Leftrightarrow2x-3=1\Leftrightarrow x=2\\ b,\Leftrightarrow\left|2x-1\right|=3\Leftrightarrow\left[{}\begin{matrix}2x-1=3\\1-2x=3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\\ c,\Leftrightarrow\sqrt{\left(2x-1\right)^2}=1\Leftrightarrow\left|2x-1\right|=1\\ \Leftrightarrow\left[{}\begin{matrix}2x-1=1\\1-2x=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=0\end{matrix}\right.\)