The relation on the real numbers R defined by a ~ b if both a > b andb> a is not an equivalence relation. Why not? What properties of anequivalence relation does it satisfy?

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Answered: The relation on the real numbers R…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The relation on the real numbers R defined by a ~ b if both a > b and b>a is not an equivalence relation. Why not? What properties of an equivalence relation does it satisfy?