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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 "Some student in your class has a cat and a ferret, but not 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 ax(C(x) ^ F(x)^¬D(x)) В -ax(C(x) A D(x) a F(x)). c) vx(C(x) v D(x) v F(x)) 3X(C(x) ^ D(x) ^ 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." Express the statement "Some student in your class has a cat and a ferret, but not 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 ax(C(x) ^ F(x)^¬D(x)) В -ax(C(x) A D(x) a F(x)). c) vx(C(x) v D(x) v F(x)) 3X(C(x) ^ D(x) ^ F(x))

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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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 "Some student in your class has a cat and a ferret, but not 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 ax(C(x) ^ F(x)^¬D(x)) В -ax(C(x) A D(x) a F(x)). c) vx(C(x) v D(x) v F(x)) 3X(C(x) ^ D(x) ^ 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 "Some student in your class has a cat and a ferret, but not 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 ax(C(x) ^ F(x)^¬D(x)) В -ax(C(x) A D(x) a F(x)). c) vx(C(x) v D(x) v F(x)) 3X(C(x) ^ D(x) ^ F(x))
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