Question

6. Let S-11, 2, 3, 6, 8, 10). For x,yeS, let x S y if xly. Answer the questions below: a) Is this an Equivalence Relation? Remember to check all three criteria (Reflexivity, Symmetry, and Transitivity). Be sure to give a short explanatio if the property holds and a specific counterexample if it does not hold. b) Is this a Partial Ordering? Remember to check all three criteria (Reflexivity Transitivity, and Anti-Symmetry). Be sure to give a short explanation if the property holds and a specific counterexample if it does not. c) Draw the Haase diagram d) What is the minimal element? e) Is there a maximal element? If so, what is it and if not, why not?

Answer 1

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