Let m be a positive integer. Show that a mod m = b mod m if a ≡ b (mod m).

SOLUTION

Step 1

We have to show that if then a (mod m) = b(mod m)

×

Log in to StudySoup

Get Full Access to
Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.1 - Problem 16e

Join StudySoup for FREE

Get Full Access to
Discrete Mathematics And Its Applications - 7 Edition - Chapter 4.1 - Problem 16e

ISBN: 9780073383095
37

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

Get Full Solutions
13

5

Problem 16E

Let m be a positive integer. Show that a mod m = b mod m if a ≡ b (mod m).

Step-by-Step Solution:
##### Textbook: Discrete Mathematics and Its Applications

##### Edition: 7

##### Author: Kenneth Rosen

##### ISBN: 9780073383095

SOLUTION

Step 1

We have to show that if then a (mod m) = b(mod m)

Step 2 of 5
###### Chapter 4.1, Problem 16E is Solved

View Full Solution

Step 3 of 5

Since the solution to 16E from 4.1 chapter was answered, more than 310 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The answer to “Let m be a positive integer. Show that a mod m = b mod m if a ? b (mod m).” is broken down into a number of easy to follow steps, and 21 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. This full solution covers the following key subjects: mod, Integer, let, Positive, show. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 16E from chapter: 4.1 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

Unlock Textbook Solution

Enter your email below to unlock your **verified solution** to:

Let m be a positive integer. Show that a mod m = b mod m