Solution Found!
Answer: Use the properties of even and odd integers that
Chapter 4, Problem 23E(choose chapter or problem)
Use the properties of even and odd integers that are listed in Example 4.2.3 to do exercises 21–23. Indicate which properties you use to justify your reasoning.
True or false? If k is any even integer and m is any odd integer, then \((k+2)^{2}-(m-1)^{2}\) is even. Explain.
Text Transcription:
(k+2)^2-(m-1)^2
Questions & Answers
QUESTION:
Use the properties of even and odd integers that are listed in Example 4.2.3 to do exercises 21–23. Indicate which properties you use to justify your reasoning.
True or false? If k is any even integer and m is any odd integer, then \((k+2)^{2}-(m-1)^{2}\) is even. Explain.
Text Transcription:
(k+2)^2-(m-1)^2
ANSWER:SOLUTION
Step 1
In this problem, we are asked to use the properties of even and odd integers and state and justify whether the given statement is true or false.