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Question 1112.2 marks per questionl Consider the following predicates over the set U of UBC students: C(c): x is in CPSC 121 class. .J(x): x is a junior student S(x): x is a senior student .CS():x is a CS major M(x): x is a Math major T(x, y): student x tutors student y (i.e. x is a tutor ofy) Rewrite each of the following statements in Predicate Logic using only the given predicates and the operators-and and of course all the logical operators we know, like ~, A, v, etc.). a) Junior students who are in the CPSC 121 class are either CS or math majors. b) No senior student in the CPSC 121 class is a CS or math major. c) Every senior math major tutors some junior CS major who is in CPSC 121 class. d) Some senior CS majors do not tutor any junior student who is in CPSC 121 class. e) Mary is tutored by at least two senior students who are not in CPSC 12 f Every student in CPSC 121 is tutored by exactly one student who is a math major