Answer these questions for the poset ({3, 5, 9, 15, 24, 45}, |). 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 {3, 5}. f) Find the least upper bound of {3, 5}, if it exists. g) Find all lower bounds of {15, 45}. h) Find the greatest lower bound of {15, 45}, if it exists.
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