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Trả lời:
$|4x-9|=3-2x$
$⇔\left[ \begin{array}{l}4x-9=3-2x\,\,\,\bigg{(}ĐK:\,x\geq \dfrac{9}{4}\bigg{)}\\4x-9=2x-3\,\,\,\bigg{(}ĐK:\,x<\dfrac{9}{4}\bigg{)}\end{array} \right.$
$⇔\left[ \begin{array}{l}6x=12\\2x=6\end{array} \right.$
$⇔\left[ \begin{array}{l}x=2\,(L)\\x=3\,(L)\end{array} \right.$
Vậy $S=\{∅\}$.