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caramel3536
- Senior | Next Rank: 100 Posts
- Posts: 58
- Joined: Sat Feb 02, 2008 10:13 pm
|x-y| > |x| - |y| can only be true if the following conditions are met:-caramel3536 wrote:Is |x-y| > |x| - |y|?
(1) y < x
(2) xy < 0
ans = b
1)Both x and y are positive
2)Both x and y are negative
Statement 1>> x>y, we don't know whether x and y are positive or negative
Statement 2>> Either x or y is negative, with this condition |x-y| will always be equal to less than |x| - |y| (you can plug in values to confirm it), Hence we know from b that this equation will not hold true.
