For any [x] EZ/n and any kEZ, we can define k[x] by k[x] = [x] + [x] + ... + [x] k times where the result is an element of Z/n. We say k[x] is a multiple of [x]. (a) List all the multiples of [3] in Z/9. (Select all that apply.) [0] [1] [2] [3] [4] [5] ☐ [6] [7] [8] (b) List all the multiples of [3] in Z/8. (Select all that apply.) ☐ [0] □ [1] [2] [3] [4] [5] [6] [7]
For any [x] EZ/n and any kEZ, we can define k[x] by k[x] = [x] + [x] + ... + [x] k times where the result is an element of Z/n. We say k[x] is a multiple of [x]. (a) List all the multiples of [3] in Z/9. (Select all that apply.) [0] [1] [2] [3] [4] [5] ☐ [6] [7] [8] (b) List all the multiples of [3] in Z/8. (Select all that apply.) ☐ [0] □ [1] [2] [3] [4] [5] [6] [7]
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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![For any \([x] \in \mathbb{Z}/n\) and any \(k \in \mathbb{Z}\), we can define \(k[x]\) by
\[ k[x] = [x] + [x] + \cdots + [x] \]
\(k\) times
where the result is an element of \(\mathbb{Z}/n\). We say \(k[x]\) is a multiple of \([x]\).
(a) List all the multiples of \([3]\) in \(\mathbb{Z}/9\). (Select all that apply.)
- [ ] [0]
- [ ] [1]
- [ ] [2]
- [ ] [3]
- [ ] [4]
- [ ] [5]
- [ ] [6]
- [ ] [7]
- [ ] [8]
(b) List all the multiples of \([3]\) in \(\mathbb{Z}/8\). (Select all that apply.)
- [ ] [0]
- [ ] [1]
- [ ] [2]
- [ ] [3]
- [ ] [4]
- [ ] [5]
- [ ] [6]
- [ ] [7]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57a0e6b4-626c-4686-9012-f35cdf382e2d%2F4449bb24-fc2b-4ad0-82be-e879c6f26be4%2Ffuoxfqn_processed.png&w=3840&q=75)
Transcribed Image Text:For any \([x] \in \mathbb{Z}/n\) and any \(k \in \mathbb{Z}\), we can define \(k[x]\) by
\[ k[x] = [x] + [x] + \cdots + [x] \]
\(k\) times
where the result is an element of \(\mathbb{Z}/n\). We say \(k[x]\) is a multiple of \([x]\).
(a) List all the multiples of \([3]\) in \(\mathbb{Z}/9\). (Select all that apply.)
- [ ] [0]
- [ ] [1]
- [ ] [2]
- [ ] [3]
- [ ] [4]
- [ ] [5]
- [ ] [6]
- [ ] [7]
- [ ] [8]
(b) List all the multiples of \([3]\) in \(\mathbb{Z}/8\). (Select all that apply.)
- [ ] [0]
- [ ] [1]
- [ ] [2]
- [ ] [3]
- [ ] [4]
- [ ] [5]
- [ ] [6]
- [ ] [7]
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