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Jan 6, 2021 at 17:08 comment added Max Alekseyev Yes, but having $p,q$ allows fine control over which inequalities are satisfied and which are not. E.g., this can be used if one wants to maximize the number of satisfied inequalities.
Jan 6, 2021 at 16:48 comment added RobPratt Or you can omit the $p+q \le 1$ constraint and use only one binary variable, as in my linked answer.
Jan 6, 2021 at 5:35 history answered Max Alekseyev CC BY-SA 4.0