Question

Let the domain for x be the set of all students in this class and the domain for y be the set of all
countries in the world. Let P(x; y) denote "student x has visited country y" and Q(x; y) denote
"student x has a friend in country y." Express each of the following using logical operations and
quantiers, and the propositional functions P(x; y) and Q(x; y).

(a) Carlos has visited Bulgaria.
(b) Every student in this class has visited the United States.
(c) Every student in this class has visited some country in the world.
(d) There is no country that every student in t