Solve for x
\left\{\begin{matrix}x\in \left(-\infty,a\right)\cup \left(0,\infty\right)\text{, }&a<0\text{ and }z<0\\x\in \left(a,0\right)\text{, }&z>0\text{ and }a<0\\x\in \left(a,\infty\right)\cup \left(-\infty,0\right)\text{, }&a>0\text{ and }z>0\\x\in \left(0,a\right)\text{, }&a>0\text{ and }z<0\end{matrix}\right.
Solve for z
\left\{\begin{matrix}z<0\text{, }&\left(a>x\text{ and }x>0\right)\text{ or }\left(x>0\text{ and }a<0\right)\text{ or }\left(a>x\text{ and }a<0\right)\\z\in \mathrm{R}\text{, }&a>0\text{ and }a<x\text{ and }x<0\\z>0\text{, }&\left(a>0\text{ and }x<0\right)\text{ or }\left(a>0\text{ and }a<x\right)\text{ or }\left(a<x\text{ and }x<0\right)\end{matrix}\right.
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