Solution to Let C(x) be the statement “x has a cat,” let D(x) be the statement “x … - Sikademy
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Archangel Macsika

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 each of these statements in terms of C(x), D(x), F(x), quantifiers, and logical connectives. Let the domain consist of all students in your class. a) A student in your class has a cat, a dog, and a ferret. b) All students in your class have a cat, a dog, or a ferret. c) Some student in your class has a cat and a ferret, but not a dog. d) No student in your class has a cat, a dog, and a ferret. e) For each of the three animals, cats, dogs, and ferrets, there is a student in your class who has this animal as a pet.

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a) \exist x:C(x)\land D(x)\land F(x)

b) \forall x:C(x)\lor D(x)\lor F(x)

c) \exist x: C(x)\land F(x)\land \neg D(x)

d) \nexists x:C(x)\land D(x)\land F(x)

e) \exists x \exists y \exists z:C(x)\land D(y) \land F(z)

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Question ID: mtid-5-stid-8-sqid-177-qpid-66