1. Mathematics
2. Algebra
3. Graphs and Functions
4. 2494

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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.