Comments for page "Homework 1" http://math453fall2008.wikidot.com/homework:homework-01/comments/show http://math453fall2008.wikidot.com/homework:homework-01/comments/show#post-249878 Re: Homework 1 http://math453fall2008.wikidot.com/homework:homework-01/comments/show#post-249878 Sun, 31 Aug 2008 17:18:12 +0000 jensberg 189506 Try using the division algorithm on n, with d=k. Then you just need to figure out how to show that for each possible r, you can find an element in the set that would be divisible by k.

]]> http://math453fall2008.wikidot.com/homework:homework-01/comments/show#post-249301 Homework 1 http://math453fall2008.wikidot.com/homework:homework-01/comments/show#post-249301 Sat, 30 Aug 2008 23:05:04 +0000 Liebers87 189633 Heyy! Having some trouble with proving the first part. I broke it down into three different cases and proved that it held true for all the cases. My cases were as follows:

1) n > k
2) n < k
3) n = k

Anyone else go about this problem differently??

Also, on the homework, I thought it was very helpful on problem 11 to prove that any even plus any odd is equal to an odd number. After proving that, I used that claim to prove the other parts.

Well anyway, if you could provide any input on the first problem, that would be very helpful. Thanks!

~Alex

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