Simple proof by contradiction


Assignment:

(a) Assume that n is a positive integer. Use the proof by contradiction method to prove and explain:
If 3n + 2 is an even integer then n is an even integer.

(b) Assume that n is a positive integer. Prove the following:
n is an even integer iff 3n + 2 is an even integer.
(Note this is an if and only if (iff) statement.)

Provide complete and step by step solution for the question and show calculations and use formulas.

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Mathematics: Simple proof by contradiction
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