Solve for x
\left\{\begin{matrix}x\in \left(-\infty,\frac{b+c}{a}\right)\cup \left(-\frac{c-b}{a},\infty\right)\text{, }&a>0\text{ and }c<0\\x\in \mathrm{R}\text{, }&c>0\text{ or }\left(b\neq 0\text{ and }a=0\text{ and }c=0\right)\text{ or }\left(b<c\text{ and }a=0\text{ and }c<0\right)\text{ or }\left(b>-c\text{ and }a=0\text{ and }c<0\right)\\x\in \left(\frac{b+c}{a},\infty\right)\cup \left(-\infty,-\frac{c-b}{a}\right)\text{, }&a<0\text{ and }c<0\\x\neq \frac{b}{a}\text{, }&a\neq 0\text{ and }c=0\end{matrix}\right.
Solve for c
c>-|ax-b|
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