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3. Let the relation R on X = {1,3,5, 6, 8, 9, 11} be such that xRy means "x – y is a multiple of 3". Prove that R is an equivalence relation and write down the equivalence classes CS Scanned with CamScanner

3. Let the relation R on X = {1,3,5, 6, 8, 9, 11} be such that xRy means "x – y is a multiple of 3". Prove that R is an equivalence relation and write down the equivalence classes CS Scanned with CamScanner

Advanced Engineering Mathematics
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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3. Let the relation R on X = {1, 3, 5, 6, 8, 9, 11} be such that Ry means y is a multiple of 3". Prove that R is an equivalence relation and write down the equivalence classes . CS Scanned with CamScanner
Transcribed Image Text:3. Let the relation R on X = {1, 3, 5, 6, 8, 9, 11} be such that Ry means y is a multiple of 3". Prove that R is an equivalence relation and write down the equivalence classes . CS Scanned with CamScanner
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