Consider the Hasse diagram of the the following poset:   a) What are the maximal element(s)? b) What are the minimal element(s)? c) What are the upper bounds of { f, h, i }? d) What are the upper bounds of { d, e, g }? e) What are the lower bounds of { f, g, h }? f) What are the lower bounds of { d, e, g }? g) What is the least upper bound of { d, e, g }, if it exists? h) What is the greatest lower bound of { j, k, l }, if it exists? i) Is this poset a lattice? Why or why not?

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