Question: Consider the poset ({2, 3, 4, 5, 6, 7,9, 12, 18, 27, 36}, |). (a) Draw the Hasse diagram for the poset. (b) Find

Consider the poset ({2, 3, 4, 5, 6, 7,9, 12, 18, 27,

Consider the poset ({2, 3, 4, 5, 6, 7,9, 12, 18, 27, 36}, |). (a) Draw the Hasse diagram for the poset. (b) Find the greatest element, if it exists. (C) Find the least element, if it exists. (d) Find the maximal elements. (e) Find the minimal elements. (1) Find all upper bounds of {4, 6}. (g) Find the least upper bound of {4, 6}, if it exists. (h) Find all lower bounds of {6, 7}. (1) Find the greatest lower bound of {6, 7}, if it exsts.

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