8. a = 20 (mod 31) and -15 s as 15.

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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III. Determine the value of a such that:
8. a = 20 (mod 31) and -15 s a s 15.
9. a = 14 (mod 41) and 100 < a s 140.
10. a = 11 (mod 21) and 90 s a s 110
11. a = 19 (mod 29) and –14 < a s 14.
Transcribed Image Text:III. Determine the value of a such that: 8. a = 20 (mod 31) and -15 s a s 15. 9. a = 14 (mod 41) and 100 < a s 140. 10. a = 11 (mod 21) and 90 s a s 110 11. a = 19 (mod 29) and –14 < a s 14.
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