Find S,T ⊆ R with the following properties (a) supS = inf T and S ∩T = ∅. (b) inf S = supS and S ⊆ T. (c) inf T = minS and T has no minimal element.

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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: