MTH110 - Quiz09-.pdf - MTH 110 Discrete Mathematics I Quiz...

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MTH 110 - Discrete Mathematics I Quiz 9 – the week of November 19, 2018 Last name (print): First name (print): Student ID number: Aids: none Time allowed: 10 minutes (10 marks) Let R be the binary relation defined on the set S of students at Ryerson: student x is related to student y (not necessarily di erent than x ) if, and only if, GPA of x is at least as good as GPA of y (that is, GPA of x is greater than or equal to GPA of y ). Determine if R is: a) reflexive (that is, for all x 2 S , xRx ), b) symmetric (that is, for all x, y 2 S , xRy ! yRx ), c) transitive (that is, for all x, y, z 2 S , ( xRy ^ yRz ) ! xRz ).

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