\(\left\{{}\begin{matrix}3x-1\le0\\2x+4>0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}3x\le1\\2x>-4\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\le\dfrac{1}{3}\\x>-2\end{matrix}\right.\)
\(\Leftrightarrow-2< x\le\dfrac{1}{3}\)