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

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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 youcan.

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)

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