Use the definitions of even, odd, prime, and composite to

Chapter 4, Problem 2E

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QUESTION:

In 1–3, use the definitions of even, odd, prime, and composite to justify each of your answers.

Assume that m and n are particular integers.

a. Is 6m + 8n even?

b. Is 10mn + 7 odd?

c. If m > n > 0, is \(m^{2}-n^{2}\) composite?

Text Transcription:

m^2-n^2

Questions & Answers

QUESTION:

In 1–3, use the definitions of even, odd, prime, and composite to justify each of your answers.

Assume that m and n are particular integers.

a. Is 6m + 8n even?

b. Is 10mn + 7 odd?

c. If m > n > 0, is \(m^{2}-n^{2}\) composite?

Text Transcription:

m^2-n^2

ANSWER:

Solution:

Step 1:

In this question, we have to justify each of your answers by using the definition of even, odd, prime and composite numbers.

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