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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]

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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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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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