tiple answer- please select all correct answers (caution- no partial credit). X-y R be the relation on A =Z where XRy if -EZ. 3 -165 5€5 065 165

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.1: Concept Of A Function
Problem 100PS
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**Question 15:**

Multiple answer - please select all correct answers (caution: no partial credit).

Let \( R \) be the relation on \( A = \mathbb{Z} \) where \( xRy \) if \(\frac{x-y}{3} \in \mathbb{Z}\).

- [ ] \(-1 \equiv 5\)
- [ ] \(5 \equiv 5\)
- [ ] \(0 \equiv 5\)
- [ ] \(1 \equiv 5\)

*Note: This question involves determining which pairs of numbers satisfy the relation where the difference between the numbers divided by 3 is an integer.*
Transcribed Image Text:**Question 15:** Multiple answer - please select all correct answers (caution: no partial credit). Let \( R \) be the relation on \( A = \mathbb{Z} \) where \( xRy \) if \(\frac{x-y}{3} \in \mathbb{Z}\). - [ ] \(-1 \equiv 5\) - [ ] \(5 \equiv 5\) - [ ] \(0 \equiv 5\) - [ ] \(1 \equiv 5\) *Note: This question involves determining which pairs of numbers satisfy the relation where the difference between the numbers divided by 3 is an integer.*
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