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Decide whether each of these integers is congruent to 3
Chapter 4, Problem 28E(choose chapter or problem)
Decide whether each of these integers is congruent to 3 modulo 7.a) 37________________b) 66________________c) -17________________d) -67
Questions & Answers
QUESTION:
Decide whether each of these integers is congruent to 3 modulo 7.a) 37________________b) 66________________c) -17________________d) -67
ANSWER:Solution:Step 1Here, in this problem we have to calculate whether each of the following integer is congruent to 3 modulo 7.We can say an integer a is congruent to b modulo m, if a and b are integers and m is a positive integer. And also m divides( a-b) completely.Or, value of .We use mathematical notation to state that integer a is congruent to b modulo m. If integer a-b is not divisible by m, then we can say integer a is not congruent to b modulo m,