a) \(\left(3-2x\right)\left(x+1\right)\ge0\)
TH1:\(\left\{{}\begin{matrix}3-2x\ge0\\x+1\ge0\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x\le1,5\\x\ge-1\end{matrix}\right.\)\(\Rightarrow-1\le x\le1,5\)
TH2:\(\left\{{}\begin{matrix}3-2x\le0\\x+1\le0\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x\ge1,5\\x\le-1\end{matrix}\right.\)(vô lý)
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b) \(\left(2x-4\right)\left(x+3\right)\le0\)
TH1:\(\left\{{}\begin{matrix}2x-4\ge0\\x+3\le0\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x\ge2\\x\le-3\end{matrix}\right.\) (vô lý)
TH2: \(\left\{{}\begin{matrix}2x-4\le0\\x+3\ge0\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x\le2\\x\ge-3\end{matrix}\right.\)\(\Rightarrow-3\le x\le2\)
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