Is the `divides’ relation on the set of positive integers
(a) reflexive? (b) symmetric? (c) transitive? (d) an equivalence relation?
Justify your answers.
For the poset ({2,4,6,9,12,18,27,36,48,60,72},|) having the `divides’ relation, find
(a) the maximal elements
(b) the minimal elements
(c) All upper bounds of {2,9}
(d) The least upper bound of {2,9} if it exists.
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