Translate the following into mathematical expressions using predicate logic

Q 3. Translate the following into mathematical expressions, using predicate logic. Only Universal and Existential quantifiers are allowed. Clearly define the predicate functions and the domain of the variables. (a) Every country has one only one capital city. (b) Montreal is the the capital city of Canada. (c) Jean has visited Montreal and Ottawa. (d) Every student in this class has visited Montreal. (e) Some students in this class have visited at least two cities other than Montreal. (f) There is no city that every student in this class has visited. (g) Not every two students have a common friend. (h) There are two students in this class, who between them, have a friend in every country in the world. Q 3. Translate the following into mathematical expressions, using predicate logic. Only Universal and Existential quantifiers are allowed. Clearly define the predicate functions and the domain of the variables. (a) Every country has one only one capital city. (b) Montreal is the the capital city of Canada. (c) Jean has visited Montreal and Ottawa. (d) Every student in this class has visited Montreal. (e) Some students in this class have visited at least two cities other than Montreal. (f) There is no city that every student in this class has visited. (g) Not every two students have a common friend. (h) There are two students in this class, who between them, have a friend in every country in the world