Solve for x
\left\{\begin{matrix}x=\sqrt{3}\approx 1.732050808\text{, }&m\neq \frac{\sqrt{3}+1}{2}\\x<2m-1\text{, }&m\leq \frac{\sqrt{3}+1}{2}\\x\leq \sqrt{3}\text{, }&m>\frac{\sqrt{3}+1}{2}\\x>2m-1\text{, }&m\geq \frac{\sqrt{3}+1}{2}\\x\geq \sqrt{3}\text{, }&m<\frac{\sqrt{3}+1}{2}\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m\neq \frac{\sqrt{3}+1}{2}\text{, }&x=\sqrt{3}\\m>\frac{x+1}{2}\text{, }&x\leq \sqrt{3}\\m<\frac{x+1}{2}\text{, }&x\geq \sqrt{3}\end{matrix}\right.
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