Determine whether the following sets/elements/functions are ∅-definable in respective structures; prove all your answers. a. The set of non-negative numbers in (ℚ, +). b. The set of non-negative numbers in (ℚ, +, ·). c. The function max(x, y) in (ℝ, <).

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Predicates

A predicate is a function defined with set of variables, which returns the result True or False. The output of a predicate is a Boolean value as a response when given a set of parameters: