Instruction: - Provide your justification for the questions (02, Q7,09, 011, Q12) to get a credit. No credit will be given without an appropriate justification. - You need to mark only one answer for the multiple-choice questions. If you mark two choices, you will not get a credit. - See the last page for the rules of inferences. 1. (5pts) The statement "Not every student in this class will learn about logic" is equivalent to which of the following statements in predicate logic, where Stx) is "x is a student in this class and L(x) is "x learns about logic a) vx(S(x) L(x)) b) ax( Sx) V L(x)) c) 3x(S(x) A~ L(x)) d) 3x(S(x) A L()) ( 5 pts) Let C=F-43,-2,-1,0, 1,2,3 } . Determine the truth value of the below statements. You need to justify your answer to get a full credit. 2. Vx in C, By in F such that x +y 0 3. (5pts) What conclusion can you draw about snowing? "It will not snow today or the university will not be closed. The university will be closed." a) It will snow today b) A conclusion cannot be drawn c) It will not snow today d) The university will not be closed e) Snowing is sufficient for university being closed. ut "All students in the class are less than 50 years old" using predicates