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Prove that if n is a positive integer, then n is odd if
Chapter 7, Problem 27E(choose chapter or problem)
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.