b) Let S = { (x, y) | x, y E R} and relation R on S defined by (x,y) R (p,q) if and only if x-p = y–q Derive all properties of the relation R with proper justification

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.3: Subgroups
Problem 23E: 23. Let be the equivalence relation on defined by if and only if there exists an element in ...
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b) Let S = { (x, y) | x, y E R} and relation R on S defined by
(x,y) R (p,q) if and only if x-p = y–q
Derive all properties of the relation R with proper justification
Transcribed Image Text:b) Let S = { (x, y) | x, y E R} and relation R on S defined by (x,y) R (p,q) if and only if x-p = y–q Derive all properties of the relation R with proper justification
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