10) Which of the following statements is false? a) fR is reflexive, then RnRep b) ROR' p R is anti-symmetric. c) If R, R' are equivalence relations in a set A, then RnR is also an equivalence relation in A. d) If R, R are reflexive relations in A, then R-R is not reflexive
10) Which of the following statements is false? a) fR is reflexive, then RnRep b) ROR' p R is anti-symmetric. c) If R, R' are equivalence relations in a set A, then RnR is also an equivalence relation in A. d) If R, R are reflexive relations in A, then R-R is not reflexive
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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![10) Which of the following statements is false?
a) fR is reflexive, then RnRep
b) ROR¹ p R is anti-symmetric.
c) If R, R' are equivalence relations in a set A, then RnR is also an equivalence relation in A.
d) If R, R are reflexive relations in A, then R-R is not reflexive](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad237327-0fb8-4f81-abce-30b75f245242%2F489f3e58-4079-4bd3-874c-db1a41d28a86%2Fijvbp3_processed.png&w=3840&q=75)
Transcribed Image Text:10) Which of the following statements is false?
a) fR is reflexive, then RnRep
b) ROR¹ p R is anti-symmetric.
c) If R, R' are equivalence relations in a set A, then RnR is also an equivalence relation in A.
d) If R, R are reflexive relations in A, then R-R is not reflexive
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