Define the following predicates: Real( x) = “x is a real number”. Pos(x) = “x is...

Define the following predicates:

Real( x) = “x is a real number”.

Pos(x) = “x is a positive real number.”

Neg(x) = “x is a negative real number.”

Int(x) = “x is an integer.”

Rewrite the following statements without using quantifiers. Determine which

statements are true or false and justify your answer as best you can.

a) Pos(0)

b) ∀x, Real(x) ∧ Neg(x) → Pos(−x)

c) ∀x, Int(x) → Real(x)

d) ∃x such that Real(x) ∧∼ Int(x)

Expert Solution

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Colby Messinger answered 10 months ago

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