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    Hasse diagram

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    Given S = {0, 1}, let R be the partial order relation on S X S X S such that for all ordered triples (a, b, c) and (d, e, f) in SXSXS (a, b, c) is related to (d, e, f) &#61659; a =<d, b=<e, c=<f, where =< denotes the usual "less than or equal to" relation for real numbers. Give all maximal, greatest, minimal and least elements if they exist. Provide R's Hasse diagram.

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    Solution Summary

    This shows how to give all maximal, greatest, minimal and least elements and Hasse diagram for a given relation.