\(\frac{\left(x+2\right)\left(3-x\right)}{7-x}\le0\)
\(\Rightarrow\)\(\hept{\begin{cases}\left(x+2\right)\left(3-x\right)\le0\\7-x>0\end{cases}}\)hoặc \(\hept{\begin{cases}\left(x+2\right)\left(3-x\right)\ge0\\7-x< 0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}3-x\le0\\-x>-7\end{cases}}\) hoặc \(\hept{\begin{cases}3-x\ge0\\-x< -7\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}-x\le-3\\x< 7\end{cases}}\) hoặc \(\hept{\begin{cases}-x\ge-3\\x>7\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x\ge3\\x< 7\end{cases}}\) hoặc \(\hept{\begin{cases}x\le3\\x>7\end{cases}}\)( vô lí)
\(\Rightarrow3\le x< 7\)
vậy \(x\in\left\{3;4;5;6\right\}\)
