subject : Discrete Math / discrete structure.

Let P(x) be the statement " x spends more than four hours every weekday in the lab," where the domain for x consists of all researchers. Express the following quantifications in English. xP(x) Translate the following statements into logical expressions using predicates, quantifiers, and logical connectives. Predicates: C(x):x is a CSC510 student. L(x):x loves programming. Universe of discourse for the variable x is all students. i) Every student loves programming. (2 marks) ii) Every CSC 510 student loves programming. (2 marks) iii) Some CSC 510 students love programming. (2 marks)