Answer:

Step-by-step explanation:
Let
be a set of all students in your class. The set
is the domain. Denote

Consider the statement '<em>A student in your class has a cat, a dog, and a ferret</em>'. This means that
so that all three statements C(x), D(x) and F(x) are true. We can express that in terms of C(x), D(x) and F(x) using quantifiers, and logical connectives as follows


Consider the statement '<em>All students in your class have a cat, a dog, or a ferret.' </em>This means that
at least one of the statements C(x), D(x) and F(x) is true. We can express that in terms of C(x), D(x) and F(x) using quantifiers, and logical connectives as follows


Consider the statement '<em>Some student in your class has a cat and a ferret, but not a dog.' </em>This means that
so that the statements C(x), F(x) are true and the negation of the statement D(x) . We can express that in terms of C(x), D(x) and F(x) using quantifiers, and logical connectives as follows


Consider the statement '<em>No student in your class has a cat, a dog, and a ferret..' </em>This means that
none of the statements C(x), D(x) and F(x) are true. We can express that in terms of C(x), D(x) and F(x) using quantifiers, and logical connectives as a negation of the statement in the part a), as follows


Consider the statement '<em> For each of the three animals, cats, dogs, and ferrets, there is a student in your class who has this animal as a pet.' </em>
This means that for each of the statements C, F and D there is an element from the domain
so that each statement holds true.
We can express that in terms of C(x), D(x) and F(x) using quantifiers, and logical connectives as follows
