7. Suppose a syllabus states if a student passes the final exam then the student will pass the course. State whether the following statements are true or false. a) It is possible for a student to fail the final exam and still pass the course. b) If a student does not pass the final exam then the student will definitely fail the course. c) If a student passed the course that means the student definitely passed the final exam. d) If a student failed the course that means the student definitely failed the final exam. 8. Decide whether the following propositions are true or false. a) p(3), p(x): 2 + x = 10 b) p(5), p(n): n > 10 c) P(3,5), p(m, n): m divides n d) p(mary), p(x): gpa of x is greater than 3.0, assume mary's gpa is 2.0