Describe the equivalence classes

1. Define a relation on Z by aRb provided a -b a. Prove that this relation is an equivalence relation. b. Describe the equiva
1. Define a relation on Z by aRb provided a -b a. Prove that this relation is an equivalence relation. b. Describe the equivalence classes. 2. Define a relation on Z by akb provided ab is even. Use counterexamples to show that the reflexive and transitive properties are not satisfied 3. Explain why the relation R on the set S-23,4 defined by R – 11.1),(22),3,3),4.4),2,3),(32),(2.4),(4,2)) is not an equivalence relation.

 


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