Question 8.Define a relation - on the set of rational numbers Q bya ~ b iff |a| = |b|(a) Prove thatthat are used in the proof.is an equivalence relation on Q. State clearly the properties of= on(b) Give a complete set of equivalence class representatives for ~.

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Answered: Question 8. Define a relation ~ on the…

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 8. Define a relation ~ on the set of rational numbers Q by a ~ b iff |a| = ||| (a) Prove that ~ is an equivalence relation on Q. State clearly the properties of that are used in the proof. = on (b) Give a complete set of equivalence class representatives for ~.