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 ~.

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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Question 8.
Define a relation - on the set of rational numbers Q by
a ~ b iff |a| = |b|
(a) Prove that
that 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 ~.
Transcribed Image Text:Question 8. Define a relation - on the set of rational numbers Q by a ~ b iff |a| = |b| (a) Prove that that 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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