b) Let A = {0, 1, 3,4, 5, 6} and define the relation R and S on A as follows: For every (x, y) €A, xRy 9 5 divides (x² – y²) and xSy y – 1= x i) List all the ordered pairs (x, y) in the relation R and S. ii) Ro S jii) SOR (The composite relation R followed by S)

b) Let A = {0, 1, 3,4, 5, 6} and define the relation R and S on A as follows: For every (x, y) €A, xRy 9 5 divides (x² – y²) and xSy y – 1= x i) List all the ordered pairs (x, y) in the relation R and S. ii) Ro S jii) SOR (The composite relation R followed by S)

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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Question

b)
Let A = {0, 1, 3, 4, 5, 6} and define the relation R and S on A
as follows:
For every (x, y) €A,
xRy 5 divides (x² – y²) and
xSy y – 1 = x
i)
List all the ordered pairs (x, y) in the relation R and S.
ii)
Ro S
iii)
SOR (The composite relation R followed by S)

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