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Let A = {-6, –5, –1, 0, 1, 5, 6}. R is defined on A as follows: For all (m, n) E A, m Rn 5| (m² – n²). 1. Show Ris an equivalence relation on A. 2. Find distinctive equivalence classes of R.

Let A = {-6, –5, –1, 0, 1, 5, 6}. R is defined on A as follows: For all (m, n) E A, m Rn 5| (m² – n²). 1. Show Ris an equivalence relation on A. 2. Find distinctive equivalence classes of R.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Pp# 3: can you help me solve and understand this practice problem please? A step by step explanation would be appreciated. Thank you!
Let A = {-6, -5, –1, 0, 1, 5, 6}. R is defined on A as %3D follows: For all (m, n) E A, т Rn 5 | (m² – n²). 1. Show Ris an equivalence relation on A. 2. Find distinctive equivalence classes of R.
Transcribed Image Text:Let A = {-6, -5, –1, 0, 1, 5, 6}. R is defined on A as %3D follows: For all (m, n) E A, т Rn 5 | (m² – n²). 1. Show Ris an equivalence relation on A. 2. Find distinctive equivalence classes of R.
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