Solve for x
\left\{\begin{matrix}x\geq 1\text{, }&r_{n}\leq 0\text{ and }r_{n}\leq r_{t}\\x\leq 1\text{, }&r_{n}\geq 0\text{ and }r_{n}\leq r_{t}\\x\in \mathrm{R}\text{, }&r_{n}=0\text{ and }r_{t}\geq 0\\x=1\text{, }&r_{n}\leq r_{t}\end{matrix}\right.
Solve for r_t
r_{t}\geq r_{n}
\left(x\geq 1\text{ and }r_{n}\leq 0\right)\text{ or }\left(r_{n}\geq 0\text{ and }x\leq 1\right)
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