Answered: Prove that ifa≡b(modn)andb≡c(modn),…

Prove that ifa≡b(modn)andb≡c(modn), thena≡c(modn). Note that you must use thedivides definition of congruence in your proof, (that is,a≡b(modn)⇐⇒n|(a−b))

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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Prove that ifa≡b(modn)andb≡c(modn), thena≡c(modn). Note that you must use thedivides definition of congruence in your proof, (that is,a≡b(modn)⇐⇒n|(a−b))

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