Solve for x
\left\{\begin{matrix}x>-\frac{1}{2}\text{, }&\left(n>0\text{ and }m=-n\right)\text{ or }\left(|m|>|n|\text{ and }m<-n\right)\\x>-\frac{3m-2n}{m+n}\text{, }&m\geq n\text{ and }m<-n\\x\in \left(-\frac{1}{2},-\frac{3m-2n}{m+n}\right)\text{, }&|n|>|m|\text{ and }m>-n\end{matrix}\right.
Solve for n
\left\{\begin{matrix}n>-\frac{m\left(x+3\right)}{x-2}\text{, }&x>-\frac{1}{2}\text{ and }x<2\\n\in \mathrm{R}\text{, }&x=2\text{ and }m<0\\n<-\frac{m\left(x+3\right)}{x-2}\text{, }&x>2\end{matrix}\right.
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