Solve for x
\left\{\begin{matrix}x\in \left(2,-\frac{4-a}{a-2}\right)\text{, }&a>0\text{ and }a<2\\x<-\frac{4-a}{a-2}\text{, }&a>2\\x>2\text{, }&a\geq 2\\x\in \left(-\frac{4-a}{a-2},2\right)\text{, }&a<0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a<\frac{2\left(x-2\right)}{x-1}\text{, }&x>1\text{ and }x<2\\a>\frac{2\left(x-2\right)}{x-1}\text{, }&x<1\text{ or }x>2\end{matrix}\right.
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