Question

define partial order relations on a set and illustrate the concept with two examples​

Answer 1

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Example: (4, 2) ∈ R and (2, 1) ∈ R, implies (4, 1) ∈ R. As the relation is reflexive, antisymmetric and transitive. Hence, it is a partial order relation. Example2: Show that the relation 'Divides' defined on N is a partial order relation.

Answer 2

Answer:

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Step-by-step explanation:

Example: (4, 2) ∈ R and (2, 1) ∈ R, implies (4, 1) ∈ R. As the relation is reflexive, antisymmetric and transitive. Hence, it is a partial order relation. Example2: Show that the relation 'Divides' defined on N is a partial order relation.