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Let R be a relation on the non-empty set A. By choosing a suitable set A and relation R, determine if your relation R has

Let R be a relation on the non-empty set A. By choosing a suitable set A and relation R, determine if your relation R has the relevant properties: reflexive, symmetric, antisymmetric and transitive. If your chosen relation fails to have a property, give an example showing why it fails in this case.

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