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# a) Define what it means for a and b to be congruent modulo ISBN: 9780073383095 37

## Solution for problem 2RQ Chapter 4.R

Discrete Mathematics and Its Applications | 7th Edition

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Problem 2RQ

Problem 2RQ

a) Define what it means for a and b to be congruent modulo 7.

b)  Which pairs of the integers –11, –8, –7, –1.0, 3, and 17 are congruent modulo 7?

c)  Show that if a and b are congruent modulo 7, then 10a + 13 and –4b + 20 are also congruent modulo 7.

Step-by-Step Solution:

Solution:

Step 1

In this problem we need to define the meaning of a and b to be congruent modulo 7. Then we need to find the pairs which are congruent to modulo m for the integers –11, –8, –7, –1.0, 3, and 17 and finally we also need to show that and are congruent modulo 7 if a and b are congruent modulo 7.

Step 2 of 2

##### ISBN: 9780073383095

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a) Define what it means for a and b to be congruent modulo