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

Chapter 7, Problem 27E

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QUESTION:

Problem 27E

Prove that if n is a positive integer, then n is odd if and only if 5n + 6 is odd.

Questions & Answers

QUESTION:

Problem 27E

Prove that if n is a positive integer, then n is odd if and only if 5n + 6 is odd.

ANSWER:

Solution:

Step1

Given that

n is positive  integer.

Step2

To find

 We have to prove that only if 5n + 6 is odd if n is odd where n is a positive integer.

Step3

Odd ,a whole number which is not a multiple of 2.

Let n is odd.

At that point

n=2m+1    ---------- (1)  for some number m.

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