Solve for x
\left\{\begin{matrix}x\in \begin{bmatrix}\text{Indeterminate},-\frac{b-z}{a+1}\end{bmatrix}\text{, }&a>-1\text{ and }\text{Indeterminate}\leq 0\\x\leq -\frac{b-z}{a+1}\text{, }&a>-1\\x\in \mathrm{R}\text{, }&b\leq z\text{ and }a=-1\\x=-\frac{b-z}{a+1}\text{, }&b\leq z\text{ or }a\neq -1\\x\geq -\frac{b-z}{a+1}\text{, }&a<-1\\x\geq \text{Indeterminate}\text{, }&\left(\text{Indeterminate}>-\frac{b-z}{a+1}\text{ and }a<-1\right)\text{ or }\left(b\leq z\text{ and }a\leq -1\right)\end{matrix}\right.
Solve for z
z\geq ax+x+b
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