8) Let A = {2,3,4, 5}, R is defined on A such that (aRB) if and only if (a2 +B+a) is an even number. Prove that R is an equivalence relation on A. NOTE: a = 3
8) Let A = {2,3,4, 5}, R is defined on A such that (aRB) if and only if (a2 +B+a) is an even number. Prove that R is an equivalence relation on A. NOTE: a = 3
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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![8)
Let A =
{2,3, 4, 5}, R is defined on A such that (aRB) if and only if (a2 +B + a) is an
even number. Prove that R is an equivalence relation on A.
NOTE: a = 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81b07aa0-5281-417c-b323-9ca91abcd14e%2F2d381ee5-c518-4e36-87e1-84118ddf6da5%2Fmir27jd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8)
Let A =
{2,3, 4, 5}, R is defined on A such that (aRB) if and only if (a2 +B + a) is an
even number. Prove that R is an equivalence relation on A.
NOTE: a = 3
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