a) Đkxđ: \(\left\{{}\begin{matrix}-3x+2\ge0\\x+1e0\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x\le\dfrac{-2}{3}\\xe-1\end{matrix}\right.\) b) Đkxđ: \(\left\{{}\begin{matrix}x-2\ge0\\-x-4\ge0\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x\ge2\\x\le4\end{matrix}\right.\)\(\Leftrightarrow2\le x\le4\). c) Đkxđ: \(\left\{{}\begin{matrix}3x^2+6x+11>0\\2x+1\ge0\end{matrix}\right.\)\(\Leftrightarrow2x+1\ge0\)\(\Leftrightarrow x\ge-\dfrac{1}{2}\). d) Đkxđ: \(\left\{{}\begin{matrix}x+4\ge0\\x^2-9e0\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x\ge-4\\xe3\\xe-3\end{matrix}\right.\).