Predicates P and Q are defined below. The domain of discourse is the set of all...

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Predicates P and Q are defined below. The domain of discourse is the set of all...

Predicates P and Q are defined below. The domain of discourse is the set of all positive integers.

P(x): x is prime

Q(x): x is a perfect square (i.e., x = y2, for some integer y)

Find whether each logical expression is a proposition. If the expression is a proposition, then determine its truth value.

1) ∃x Q(x)

2) ∀x Q(x) ∧ ¬P(x)

3) ∀x Q(x) ∨ P(3)

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