Answer the following: Is a = y( mod 5) reflexive? [Select] [Select Yes Is a = y( mod 5) symmetric No Is a = y( mod 5) anti-symmetric? [Select] Is a = y mod 5) transitive? Select]

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let Abe the set of integers and let x, y be integers. Furthermore, let Ry hold if and
only if a = y(mod 5). The modulo operator, mod n (in this case, n = = 5),
outputs the remainder when y is divided by n. Such a relation R is called congruence
modulo n, or the '%' symbol in many computer programs.
Answer the following:
Is a = y( mod 5) reflexive?
Select]
Select]
Yes
Is a = y( mod 5) symmetric No
Is a = y(mod 5) anti-symmetric? [Select]
Isa = y( mod 5) transitive?
Select]
Transcribed Image Text:Let Abe the set of integers and let x, y be integers. Furthermore, let Ry hold if and only if a = y(mod 5). The modulo operator, mod n (in this case, n = = 5), outputs the remainder when y is divided by n. Such a relation R is called congruence modulo n, or the '%' symbol in many computer programs. Answer the following: Is a = y( mod 5) reflexive? Select] Select] Yes Is a = y( mod 5) symmetric No Is a = y(mod 5) anti-symmetric? [Select] Isa = y( mod 5) transitive? Select]
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