Answer these questions for the poset ({2, 4, 6, 9, 12, 18,

Chapter 8, Problem 8.6.34

(choose chapter or problem)

Answer these questions for the poset ({2, 4, 6, 9, 12, 18, 27, 36, 48, 60, 72l . I). a) Find the maximal elements. b) Find the minimal elements. c) Is there a greatest element? d) Is there a least element? e) Find all upper bounds of {2, 9} . I) Find the least upper bound of {2, 9}, if it exists. g) Find all lower bounds of {60, 72}. h) Find the greatest lower bound of {60, 72}, if it exists.

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