Prove that if n is a positive integer, then n is even if

Chapter 7, Problem 26E

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QUESTION:

Problem 26E

Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even.

Questions & Answers

QUESTION:

Problem 26E

Prove that if n is a positive integer, then n is even if and only if 7n + 4 is even.

ANSWER:

Solution:

Step1

Given that

n is positive even integer.

Step2

To find

 We have to prove that if n is a positive integer, then n is even if and only if 7n + 4 is even.

Step3

Even, any whole number that can be exactly divided by 2.

Let n is even.

At that point

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