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# quiz10 - 2 4 6 9 12 18 27 36 48 60 72 | a Find the maximal...

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Math 240, Quiz 10 Name: Circle One: T 12:05 T 2:25 R 12:05 R 2:25 Instructions: Answer all questions fully, showing work where necessary. 1) Let R be the relation on the set of ordered pairs of positive integers such that (( a, b ) , ( b, c )) R if and only if ad = bc . Show that R is an equivalence relation. 2) Answer these questions for the poset (
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Unformatted text preview: { 2 , 4 , 6 , 9 , 12 , 18 , 27 , 36 , 48 , 60 , 72 } , | ) a) Find the maximal elements. b) Find the minimal elements. c) Find all upper bounds of { 2 , 9 } d) Find the least upper bound of { 2 , 9 } if it exists. Bonus (1 pt): What is Ben Ellison’s o±ce number? 1...
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