Solved: In 2830, rewrite each statement without using quantifiers or variables. Indicate
Chapter 3, Problem 30(choose chapter or problem)
Let the domain of x be the set Z of integers, and let Odd(x) be “x is odd,” Prime(x) be “x is prime,” and Square(x) be “x is a perfect square.” (An integer n is said to be a perfect square if, and only if, it equals the square of some integer. For example, 25 is a perfect square because \(25=5^{2}\).)
a. \(\exists x\) such that Prime(x) \(\wedge \sim \operatorname{Odd}(x)\).
b. \(\forall x, \operatorname{Prime}(x) \rightarrow \sim \operatorname{Square}(x)\).
c. \(\exists x \) such that Odd(x) \(\wedge\) Square(x).
Text Transcription:
25=5^2
exists x
wedge sim Odd(x)
forall x, Prime(x) rightarrow sim Square(x)
exists x
wedge
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