Let A = {0, 1, 3, 4, 5, 6} and define the relation R and S on A as follows: For every (x, y ) eA, 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)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let A = {0, 1, 3, 4, 5, 6} and define the relation R and S on A
as follows:
For every (x, y ) eA,
xRy 9 5 divides (x² – y?) and
xSy y – 1=x
i)
List all the ordered pairs (x, y) in the relation R and S.
ii)
RnS
iii)
SoR (The composite relation R followed by S)
Transcribed Image Text:Let A = {0, 1, 3, 4, 5, 6} and define the relation R and S on A as follows: For every (x, y ) eA, xRy 9 5 divides (x² – y?) and xSy y – 1=x i) List all the ordered pairs (x, y) in the relation R and S. ii) RnS iii) SoR (The composite relation R followed by S)
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