×
×

# Decide whether each of these integers is congruent to 3 ISBN: 9780073383095 37

## Solution for problem 28E Chapter 4.1

Discrete Mathematics and Its Applications | 7th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants Discrete Mathematics and Its Applications | 7th Edition

4 5 1 281 Reviews
10
2
Problem 28E

Decide whether each of these integers is congruent to 3 modulo 7.a) 37________________b) 66________________c) -17________________d) -67

Step-by-Step Solution:

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, Step 2a) 37We can write So, here we have 3 modulo 7 = 3Now, we have to calculate 37 modulo 7We can write So, here we have 37 modulo 7 =2Since, Therefore integer 37 is not congruent to 3 modulo 7.Or we can also check according to definition that ) integer 34 (a-b) is not divisible by m=7.Therefore integer 37 is not congruent to 3 modulo 7.Step 3b) 66We can write So, here we have 3 modulo 7 = 3Now, we have to calculate 66 modulo 7We can...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073383095

This full solution covers the following key subjects: congruent, decide, integers, modulo, these. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The answer to “Decide whether each of these integers is congruent to 3 modulo 7.a) 37________________b) 66________________c) -17________________d) -67” is broken down into a number of easy to follow steps, and 16 words. Since the solution to 28E from 4.1 chapter was answered, more than 285 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The full step-by-step solution to problem: 28E from chapter: 4.1 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

Unlock Textbook Solution