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Hello Operator (Posted on 2003-10-17) Difficulty: 4 of 5
Consider a binary operation # that is closed under the set of integers (if a and b are integers, then a#b is an integer).

Assume that, for all integers a and b, it is true that (a#b)#a=b.

Prove that a#(b#a)=b.

See The Solution Submitted by DJ    
Rating: 4.2727 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): A simple solution | Comment 9 of 19 |
(In reply to re(2): A simple solution by Charlie)

Yes, you are correct. I misspoke. And that, too, cannot be assumed about the problem.

Thanks, Charlie.
  Posted by SilverKnight on 2003-10-20 01:05:22

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