1) a. Let A = The set of numbers involve in your college ID. And R = {(x, y) | = 2 divdes (x³ + y} be a relation on set A. Prove that R is an equivalence relation on A. b. Let A = The set of first three odd numbers involve in your college ID. write all the permutations of A. For example, if your MEC ID is 16F234510, then your ID involve seven digits 0, 1, 2, 3, 4, 5 and 6. SO MY ID IS 17F1722

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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1)
a. Let A = The set of numbers involve in your college ID. And R = {(x, y) |→2 divdes (x³ + y}
be a relation on set A. Prove that R is an equivalence relation on A.
b. Let A = The set of first three odd numbers involve in your college ID. write all the permutations
of A.
For example, if your MEC ID is 16F234510, then your ID involve seven digits 0, 1, 2, 3, 4, 5 and 6.
SO MY ID IS 17F1722
Transcribed Image Text:1) a. Let A = The set of numbers involve in your college ID. And R = {(x, y) |→2 divdes (x³ + y} be a relation on set A. Prove that R is an equivalence relation on A. b. Let A = The set of first three odd numbers involve in your college ID. write all the permutations of A. For example, if your MEC ID is 16F234510, then your ID involve seven digits 0, 1, 2, 3, 4, 5 and 6. SO MY ID IS 17F1722
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