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Hasse diagram

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.

Solution Summary

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

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