\(\left(a-2\right)\left(a+3\right)< 0\Rightarrow a-2\text{ và }a+3\text{ ngược dấu}\\ \Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}a-2>0\\a+3< 0\end{matrix}\right.\\\left\{{}\begin{matrix}a-2< 0\\a+3>0\end{matrix}\right.\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}a>2\\a< -3\end{matrix}\right.\\\left\{{}\begin{matrix}a< 2\\a>-3\end{matrix}\right.\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}a\in\varnothing\\-3< a< 2\end{matrix}\right.\\ \Leftrightarrow a\in\left\{-2;-1;0;1\right\}\)
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