Question: Let S(x) be the statement x is a student in EECS210, let C(x) be the statement x has a cat, let D(x) be the statement
Let S(x) be the statement x is a student in EECS210, let C(x) be the statement x has a cat, let D(x) be the statement x has a dog, and let H(x) be the statement x has a hamster. Assume that the domain of x is the set of all people, express each of the following statements in terms of S(x), C(x), D(x), F(x), quantifiers, and logical connectives.
(a) A student in EECS210 has a cat, a dog, and a hamster.
(b) All students in EECS210 have a cat, a dog, or a hamster.
(c) Some student in EECS210 has a cat and a hamster, but not a dog.
(d) No student in EECS210 has a cat, a dog, and a hamster.
(e) For each of the three animals, cats, dogs, and hamster, there is a student in EECS210 who has this animal as a pet.
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