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Suppose a = {2, 3, 6, 9, 10, 12, 14 RR

Question 58

Short Answer

Suppose A = {2, 3, 6, 9, 10, 12, 14, 18, 20} and R is the partial order relation defined on A where xR y means x is a divisor or y .
(a) Draw the Hasse diagram for RR .
(b) Find all maximal elements.
(c) Find all minimal elements.
(d) Find lub({2,9})\operatorname { lub } ( \{ 2,9 \} ) .
(e) Find lub({3,10})\operatorname { lub } ( \{ 3,10 \} ) .
(f) Find glb({14,10})\operatorname { glb } ( \{ 14,10 \} ) .

Correct Answer:

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(a)
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(b) blured image
(c) 2,3
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