Use the properties of even and odd integers that are

Chapter 4, Problem 21E

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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 m is any even integer and n is any odd integer, then \(m^{2}\) + 3n is odd. Explain.

Text Transcription:

m^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 m is any even integer and n is any odd integer, then \(m^{2}\) + 3n is odd. Explain.

Text Transcription:

m^2

ANSWER:

Solution

Step 1:

Given any two numbers and where is even and is odd then we have to determine whether the statement “If is any even integer and is any odd integer,then  is odd”is true or false.

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