Chapter 1.4, Problem 10E

LetC(x) be the statement “xhas a cat,” letD(x) be the statement “xhas a dog,” letF(x) be the statement “xhas a ferret.” Express each of these statements in terms ofC(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.