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I have a binary variable $y\ \epsilon\ \{0,1\} $ and a real $x$ which has the following boundaries $-100\leq\ x \leq\ 100$. How can I reformulate the following statement: $$ y = \begin{cases} 0 & \text{if $ x< 0 $ }\\ 1 & \text{if $x \geq0$}\\ \end{cases} $$

Your help would be much appreciated.

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