COEN 231 Study Guide - Quiz Guide: Contraposition, Computer Engineering, Universal Set

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Assignment no 3 (5 marks) (due date marsh 4th, 2016) Prove that if n is an integer and 3n + 2 is even, then n is even. L(x) be "student x in this class likes mathematics," S(x) be "student x in this class has seen a computer," T(x, c) be "student x in this class has taken the mathematics course c," P(z, y) be room z is in building y , and. Q(x, z) be student x in this class has been in room z . ] Given a conditional statement p q find: the inverse of its inverse, the inverse of its converse, the converse of its contrapositive. Question 3(1/2 mark): suppose that if a, b and c are sets such that a b and b c. Show that a c. state which method are you using. Show that if a, b, and c are set by (a b c )c = ac bc cc.

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