The relation R defined on Z by aRb if 3 | (2a + 7b) is an equivalence relation. the equivalence classes are: {0,±3,±6,…},{1,−2,4,−5,7,−8,10,…},{2,−1,5,−4,8,−7,11,…} How do they get these numbers and where do you begin?

The relation R defined on Z by aRb if 3 | (2a + 7b) is an equivalence relation. the equivalence classes are: {0,±3,±6,…},{1,−2,4,−5,7,−8,10,…},{2,−1,5,−4,8,−7,11,…} How do they get these numbers and where do you begin?

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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Question

The relation R defined on Z by aRb if 3 | (2a + 7b) is an equivalence relation. the equivalence classes are:

{0,±3,±6,…},{1,−2,4,−5,7,−8,10,…},{2,−1,5,−4,8,−7,11,…}

How do they get these numbers and where do you begin?

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