woohoo921
To clarify, in statement 1 you can tell that r > s, so then you know that it will just be reduced. But in statement 2, you cannot tell whether r > s or r < s to know whether it can be reduced like it was in statement 1?
Just to add to Bunuel's response above: A question of divisibility is largely unrelated to a question of inequality. Yes, it's true that a smaller integer is definitely NOT divisible by a larger integer... But a larger integer MAY OR MAY NOT be divisible by a smaller integer.
Therefore, it's not advisable to think of a divisibility question as an inequality question,
woohoo921.