Can any finite set of integers be closed under addition? Prove your answer.

I kind of have an understanding of what this means but don't know how to prove this?

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- Sep 4th 2010, 02:51 AMacevipaFinite set of integers closed under addition
Can any finite set of integers be closed under addition? Prove your answer.

I kind of have an understanding of what this means but don't know how to prove this? - Sep 4th 2010, 03:49 AMundefined
- Sep 4th 2010, 04:24 AMSoroban
Hello, acevipa!

Quote:

Can any finite set of integers be closed under addition? Prove your answer.

Suppose the set is: . . . . in increasing order.

. .

. .

The set isclosed under addition.*not*

The only such set is a trivial one: .

Edit: too slow . . . again !