3. On the relation R on the set {1, 2, 3, 4, 5} defined by the rule (x, y) e R if x+y<6. a) List the elements of R. b) List the elements of R'. c) Find the domain of R. d) Find the range of R. e) Find the domain of R'. f) Find the range of R'. g) Is the relation R an equivalence relation? If so, list the equivalence classes.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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3. On the relation R on the set {1, 2, 3, 4, 5} defined by the rule (x, y) e R ifx+y<6.
a) List the elements of R.
b) List the elements of R.
c) Find the domain of R.
d) Find the range of R.
e) Find the domain of R'.
f) Find the range of R'.
g) Is the relation R an equivalence relation? If so, list the equivalence classes.
Transcribed Image Text:3. On the relation R on the set {1, 2, 3, 4, 5} defined by the rule (x, y) e R ifx+y<6. a) List the elements of R. b) List the elements of R. c) Find the domain of R. d) Find the range of R. e) Find the domain of R'. f) Find the range of R'. g) Is the relation R an equivalence relation? If so, list the equivalence classes.
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