1. (8 marks) Let C(z,y) be the statement "r is a student in the class y", H(2) be the statement "r likes hotpot", and D.) be the statement "r likes Dim Sum, where the domain for r is all students in the college and the domain for y is all classes in the college. Translate the following statements into logical expressions. (In the statements, you can only use V3, V,A,7, and/or +.) (a) All students in the class Faith do not like hotpot. (b) The class "Mercy" is the only class in which all students like both hotpot and Dim Sum