Prove each of the following statements c) Prove that if a is an integer, then a² + a is even. [Hint: Use proof by cases.] d) Prove that a + b is even if and only if a and b are both even or both odd.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Prove each of the following statements
c) Prove that if a is an integer, then a² + a is even. [Hint: Use
proof by cases.]
d) Prove that a + b is even if and only if a and b are both
even or both odd.
Transcribed Image Text:Prove each of the following statements c) Prove that if a is an integer, then a² + a is even. [Hint: Use proof by cases.] d) Prove that a + b is even if and only if a and b are both even or both odd.
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