Solution Found!
Prove for every integer n that there exist two integers a and b of opposite parity such
Chapter 3, Problem 38(choose chapter or problem)
QUESTION:
Prove for every integer n that there exist two integers a and b of opposite parity such that an + b is an odd integer.
Questions & Answers
QUESTION:
Prove for every integer n that there exist two integers a and b of opposite parity such that an + b is an odd integer.
ANSWER:Problem 38
Prove for every integer that there exist two integers and of opposite parity such that is an odd integer.
Step by Step Solution
Step 1 of 3
If two integers have opposite parity, then one is even and the other is odd.
Suppose,is even integer and is an odd integer.
Then by definition of even and odd integers:
Here,