Rewrite each statement without using quantifiers or variables. Indicate which are true and which are false, and justify your answers as best as you can.
Exercise
Let the domain of x be the set of geometric figures in the plane, and let Square(x) be “x is a square” and Rect(x) be “x is a rectangle.”
a. ∃x such that Rect(x) Square(x).
b. ∃x such that Rect(x) ~Square(x).
c. ∀x, Square(x) → Rect(x).
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