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Let A = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows: For all m, nЄ A, mRn 31 (m² - n²). It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) (-30,3),(-2,1,4), (-1,2,5,6,7)

Let A = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows: For all m, nЄ A, mRn 31 (m² - n²). It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) (-30,3),(-2,1,4), (-1,2,5,6,7)

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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Let A = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows: For all m, nЄ A, mRn 31 (m² - n²). It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) (-30,3),(-2,1,4), (-1,2,5,6,7)
Transcribed Image Text:Let A = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7} and define a relation R on A as follows: For all m, nЄ A, mRn 31 (m² - n²). It is a fact that R is an equivalence relation on A. Use set-roster notation to list the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) (-30,3),(-2,1,4), (-1,2,5,6,7)
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