C. Determine whether each of the following is true. 1. 7 ≡ 12 mod 5 2. 3 ≡ 24 mod 7 3. 33 ≡ 15 mod 9

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 29E: 29. Find the least positive integer that is congruent to the given sum, product, or power. a. ...
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C. Determine whether each of the following is true.
1. 7 ≡ 12 mod 5

2. 3 ≡ 24 mod 7

3. 33 ≡ 15 mod 9

4. 5 ≡ 2 mod 26

5. 33 ≡ 49 mod 4

6. 25 ≡ 85 mod 12

7. 18 ≡ 60 mod 7

8. 7 ≡ 21 mod 3

9. 100 ≡ 20 mod 5

10. 88 ≡ 5 mod 9

11. 120 ≡ 6 mod 20

12. 5 ≡ 20 mod 1

13. 45 ≡ 9 mod 5

14. 72 ≡ 30 mod 5

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