Suppose a,b e G, where G is an abelian group under +. Show -(a + b) = (-a) + (-b).

Thanks for any help.

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- March 9th 2009, 09:50 PMjzelltAbelian Group proof
Suppose a,b e G, where G is an abelian group under +. Show -(a + b) = (-a) + (-b).

Thanks for any help. - March 9th 2009, 10:10 PMChris L T521
- March 9th 2009, 10:14 PMjzellt
How do we know that -(a + b) = (-b) + (-a)?

Isn't that something I would have to show while giving a solid proof? - March 9th 2009, 10:17 PMChris L T521