Predicate Logic and Quantifiers

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What is the difference between a propositional variable and a predicate variable?

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A propositional variable is a variable that can take on the values true or false, while a predicate variable is a variable that can take on the values true or false for a given object.

A propositional variable is a variable that can take on the values true or false, while a predicate variable is a variable that can take on the values true or false for a set of objects.

A propositional variable is a variable that can take on the values true or false, while a predicate variable is a variable that can take on the values true or false for a relation between objects.

A propositional variable is a variable that can take on the values true or false, while a predicate variable is a variable that can take on the values true or false for a function from objects to truth values.

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