Perform as indicated. a. Given 22 = 12 mod 5 & -1 = 14 mod 5, Find the sum, the difference and the product of these congruences. A Sum B Difference C Product b. Add 2 = 14 mod 3 and 2 = -1 mod 3 c. Subtract 1 = -5 mod 3 from 2 = 2 mod 3

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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2. Perform as indicated.
a. Given 22 = 12 mod 5 & -1 = 14 mod 5, Find the sum, the difference and the product of
these congruences.
A Sum
B Difference
C Product
b. Add 2 = 14 mod 3 and 2 = -1 mod 3
c. Subtract 1 = -5 mod 3 from 2 = 2 mod 3
Transcribed Image Text:2. Perform as indicated. a. Given 22 = 12 mod 5 & -1 = 14 mod 5, Find the sum, the difference and the product of these congruences. A Sum B Difference C Product b. Add 2 = 14 mod 3 and 2 = -1 mod 3 c. Subtract 1 = -5 mod 3 from 2 = 2 mod 3
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