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Let C(x) be the statement "x has a cat," let D(x) be the statement "x has a dog," and let F(x) be the statement "x has a ferret." Expre the statement "No student in your class has a cat and a ferret, and a dog." in terms of C(x), D(x), F(x), quantifiers, and logical connectives. Let the universe of discourse consist of all students in your class. A) -3x(C(x) ^ D(x) ^ F(x)). B Vx(C(x) v D(x) v F(x)) Ex(C(x) ^ F(x)^¬D(x)) D Эx(С(х) л D(x)л F{x))

Let C(x) be the statement "x has a cat," let D(x) be the statement "x has a dog," and let F(x) be the statement "x has a ferret." Expre the statement "No student in your class has a cat and a ferret, and a dog." in terms of C(x), D(x), F(x), quantifiers, and logical connectives. Let the universe of discourse consist of all students in your class. A) -3x(C(x) ^ D(x) ^ F(x)). B Vx(C(x) v D(x) v F(x)) Ex(C(x) ^ F(x)^¬D(x)) D Эx(С(х) л D(x)л F{x))

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let C(x) be the statement "x has a cat," let D(x) be the statement "x has a dog," and let F(x) be the statement "x has a ferret." Express the statement "No student in your class has a cat and a ferret, and a dog." in terms of C(x), D(x), F(x), quantifiers, and logical connectives. Let the universe of discourse consist of all students in your class. A) -3x(C(x) ^ D(x) ^ F(x)). B Vx(C(x) v D(x) v F(x)) Ex(C(x) ^ F(x)^¬D(x)) Эx(С(х) л D(x) л F(x))
Transcribed Image Text:Let C(x) be the statement "x has a cat," let D(x) be the statement "x has a dog," and let F(x) be the statement "x has a ferret." Express the statement "No student in your class has a cat and a ferret, and a dog." in terms of C(x), D(x), F(x), quantifiers, and logical connectives. Let the universe of discourse consist of all students in your class. A) -3x(C(x) ^ D(x) ^ F(x)). B Vx(C(x) v D(x) v F(x)) Ex(C(x) ^ F(x)^¬D(x)) Эx(С(х) л D(x) л F(x))
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