   Chapter 8.1, Problem 74ES Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584

Solutions

Chapter
Section Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
ISBN: 9781305965584
Textbook Problem

Find all whole number solutions of the congruence equation. 3 x ≡ 8 mod 11

To determine

To calculate: To find all whole number solutions of the equation 3x8mod11

Explanation

Given information: The equation 3x8mod11 is given

Calculation:

Consider the following congruence equation

3x8mod11

Begin with 0; substitute each whole number less than 11 into the congruence equation to get

x=03(0)8mod11 not a solution x=13(1)8mod11 not a solution x=23(2)8mod11 not a solution x=33(3)8mod11 not a solution

x=43(4)8mod11 not a solution

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