Solved: In 2830, rewrite each statement without using quantifiers or variables. Indicate

Chapter 3, Problem 29

(choose chapter or problem)

In 28–30, 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.

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. \(\exists x \text { such that } \operatorname{Rect}(x) \wedge \operatorname{Square}(x)\).

b. \(\exists x \text { such that } \operatorname{Rect}(x) \wedge \sim \operatorname{Square}(x)\).

c. \(\forall x, \operatorname{Square}(x) \rightarrow \operatorname{Rect}(x)\).

Text Transcription:

exists x such that Rect(x) wedge Square(x)

exists x such that Rect(x) wedge sim Square(x)

forall x, Square(x) rightarrow Rect(x)