Suppose that A is the set {a, ß, y, d, ε}. A.) Construct a relation r on A that is a partial ordering. B.) Prove that your relation r from part (a) is a partial ordering. C.) Find a matrix that will represent r from part (a). D.) Draw a Hasse diagram for your relation r.

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Suppose that A is the set {a, ß, y, d, ε}.
A.) Construct a relation r on A that is a partial ordering.
B.) Prove that your relation r from part (a) is a partial ordering.
C.) Find a matrix that will represent r from part (a).
D.) Draw a Hasse diagram for your relation r.
Transcribed Image Text:Suppose that A is the set {a, ß, y, d, ε}. A.) Construct a relation r on A that is a partial ordering. B.) Prove that your relation r from part (a) is a partial ordering. C.) Find a matrix that will represent r from part (a). D.) Draw a Hasse diagram for your relation r.
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