Prove that relation has that property


Let R be relation on Z such that xRy if and only if x.y is even. For each and every of the following question, if your answer is "no" provide counter example. If your answer is "yes" prove that relation has that property.

a) Is R reflexive?

b) Is R symmetric?

c) Is R transitive?

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Mathematics: Prove that relation has that property
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