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Another DS from GMATPrep -- Absolute Value Inequalities [#permalink]

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10 May 2006, 15:31

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I don't really understand how to approach the inquality questions on the GMAT... any help on this question (and in general) from GMATPrep would be greatly appreciated...

Is lx-yl > lxl - lyl ?

(1) y < x
(2) xy < 0

Answer is B, but I don't understand it. Thanks for the help.

(x and y are both positive fractions) If x = 1/2, y = 1/4, |x-y|=1/2, |x|-|y|=1/4, |x-y| > |x|-|y|

Wilfred, How is this condition upholding statement 2 where xy<0?

If x = 1/2,, y = 1/4, xy = 1/8 which is less than 0.

Not meaning to be rude but xy=1/8 is not less than 0. In fact it is greater than 0. It is between 0 and +1.
If xy= -1/8 then, yes it would be less than 0.

(x and y are both positive fractions) If x = 1/2, y = 1/4, |x-y|=1/2, |x|-|y|=1/4, |x-y| > |x|-|y|

Wilfred, How is this condition upholding statement 2 where xy<0?

If x = 1/2,, y = 1/4, xy = 1/8 which is less than 0.

Not meaning to be rude but xy=1/8 is not less than 0. In fact it is greater than 0. It is between 0 and +1. If xy= -1/8 then, yes it would be less than 0.

haha.. i must be thinking too much. What a mistake !