Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Another DS from GMATPrep -- Absolute Value Inequalities [#permalink]
10 May 2006, 14:31

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

100% (75:48) correct
0% (00:00) wrong based on 2 sessions

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 !