Mathematics Homework Solutions
Problem
#115349

Integer Proofs by Contradiction

Assume that n is a positive integer. Use the proof by contradiction method to prove:

(a)  If  7n + 4 is an even integer, then n is an even integer.

(b)  Prove:  n is an even integer iff 7n + 4 is an even integer.  
(Note this is an if and only if (iff) statement.


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Integer proofs by contradiction are provided.

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