6th Edition

ISBN: 9781285074672

Author: Larson

Publisher: CENGAGE L

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Concept explainers

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

Chapter 4.2, Problem 2E

To determine

To find relatively prime pairs from the given numbers.

Expert Solution & Answer

Answer to Problem 2E

5 and 16; 16 and 25

Explanation of Solution

Given Information: 5, 10, 16, 25

Formula Used: Two integers are said to be co-prime (or relatively prime) if they do not share a common divisor different than 1.

Calculation:

To make a co-prime pair from 5, 10, 16 and 25, it can be seen that 5 can only form a pair with 16.

Also, 16 can only form a pair with 25.

10 and 16 cannot pair as they have a common factor i.e. 2. Also 5 and 10 cannot pair as they too have a common factor 5 with them. Both of them have a common factor excluding 1, hence, they are not relatively prime.

Therefore, the two pairs of co-primes are: 5-16 and 16-25

Chapter 4.2, Problem 1E

Chapter 4.2, Problem 3E

Chapter 4 Solutions

ELEMENTARY+INTERMEDIATE ALGEBRA

Ch. 4.1 - Prob. 1C Ch. 4.1 - Prob. 2C Ch. 4.1 - Prob. 3C Ch. 4.1 - Prob. 4C Ch. 4.1 - Prob. 5C Ch. 4.1 - Prob. 6C Ch. 4.1 - Prob. 7C Ch. 4.1 - Prob. 8C Ch. 4.1 - Prob. 9C Ch. 4.1 - Prob. 10C

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