Friday, 22 November 2013

Discrete Mathematics - Direct Proof

I am given



Prove the statement, for all integers n if 5n is odd, then n is odd




We know that this is not true for n=4 simply by building a table for values for n and 5n...



Is that all I need to do? I've shown a table up to n=4 and, by contradiction of the original statement, n is even and 5n is even.

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