Rewrite each statement without using quantifiers or variables. Indicate which are true and...

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).

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b. ∃x such that Rect(x)  ~Square(x).

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c. ∀x, Square(x)  → Rect(x).