a)\(\left|2-3x\right|< 7\)
\(\Leftrightarrow\left[{}\begin{matrix}2-3x< 7\\2-3x< -7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-3x< -2+7\\-3x< -2-7\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}-3x< 5\\-3x< -9\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x>\dfrac{-5}{3}\\x< 3\end{matrix}\right.\)
S=...
b)\(\left|2x-3\right|\ge5\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-3\ge5\\2x-3\ge-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x\ge3+5\\2x\ge3-5\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x\ge8\\2x\ge-2\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x\ge4\\x\ge-1\end{matrix}\right.\)
S=...
c)\(8-4x\le0\)
\(\Leftrightarrow-4x\le-8+0\)
\(\Leftrightarrow-4x\le-8\)
\(\Leftrightarrow x\ge2\)
S=...
