\(a,xy+3x-2y=11\\ \Rightarrow x\left(y+3\right)-2y-6=11-6\\ \Rightarrow x\left(y+3\right)-2\left(y+3\right)=5\\ \Rightarrow\left(x-2\right)\left(y+3\right)=5\)
Đến đây bạn lập bảng để tìm x, y nhé
\(b,\left(x-7\right)\left(x+3\right)< 0\)
\(\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x-7< 0\\x+3>0\end{matrix}\right.\\\left\{{}\begin{matrix}x-7>0\\x+3< 0\end{matrix}\right.\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x< 7\\x>-3\end{matrix}\right.\\\left\{{}\begin{matrix}x>7\\x< -3\left(ktm\right)\end{matrix}\right.\end{matrix}\right.\)
\(\Rightarrow-3< x< 7\)
\(c,\left(x+5\right)\left(3x-12\right)>0\)
\(\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x+5>0\\3x-12>0\end{matrix}\right.\\\left\{{}\begin{matrix}x+5< 0\\3x-12< 0\end{matrix}\right.\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x>-5\\x>4\end{matrix}\right.\\\left\{{}\begin{matrix}x< -5\\x< 4\end{matrix}\right.\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x>4\\x< -5\end{matrix}\right.\)
