Elements Of Modern Algebra
8th Edition
ISBN: 9781285463230
Author: Gilbert, Linda, Jimmie
Publisher: Cengage Learning,
Elements Of Modern Algebra
Fundamentals. 6TFE

# Whether the statement, “Let R be a relation on nonempty set A that is symmetric and transitive. Since R is symmetric x R y implies that y R x . Since R is transitive x R y and y R x implies that x R x . Hence R is reflexive and thus an equivalence relation on set A ” is true or false.

Question
Chapter 1.7, Problem 6TFE
To determine

## Whether the statement, “Let R be a relation on nonempty set A that is symmetric and transitive. Since R is symmetric xRy implies that yRx. Since R is transitive xRy and yRx implies that xRx. Hence R is reflexive and thus an equivalence relation on set A ” is true or false.

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Elements Of Modern Algebra
8th Edition
ISBN: 9781285463230
Author: Gilbert, Linda, Jimmie
Publisher: Cengage Learning,