Answer these questions for the poset ({ { I}, {2}, {4},

Chapter 8, Problem 8.6.35

(choose chapter or problem)

Answer these questions for the poset ({ { I}, {2}, {4}, {I, 2}, {I, 4}, {2, 4}, {3, 4} , {I, 3, 4} , {2, 3, 4}}, ). 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}, {4} }. I) Find the least upper bound of { {2}, {4}}, if it exists. g) Find all lower bounds of {{ I, 3, 4} , {2, 3, 4}}. h) Find the greatest lower bound of {{l, 3, 4} , {2, 3, 4}}, if it exists.

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