Check whether the relation R is reflexive, symmetric or transitive R = {(a, b) : a ≤ b3}

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5. Check whether the relation R in R defined by R = {(a, b) : a ≤ b3} is reflexive, symmetric or transitive.
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Very nicly explained.thank you very much.

madhavichaduvula
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surely we cannot prove that its transitive by using examples, shouldnt it be an arbirtray integer k instead of proving by examples?

원도훈-mw
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if i take a=2 then it will be reflexive, also if i take for transitive (2, 3) and (3, 5) it will be transitive

preethie
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if am taking value of a=2 then it will be reflexive. Because according to question 2<2^3

richadubey