It is currently 23 Mar 2018, 00:18

### GMAT Club Daily Prep

#### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# PS: Absolute values

Author Message
Manager
Joined: 13 Jan 2009
Posts: 168

### Show Tags

21 Jan 2009, 05:12
I still don't get it. any number >-1 but 0 and 1 can be true in this equation - Understood! But why 1 is out of scope, GT? I don't get it. It doesn't even mentioned in the question.
I believe 1 is still bigger than -1 . I think the question stated incorrect.
SVP
Joined: 07 Nov 2007
Posts: 1759
Location: New York

### Show Tags

21 Jan 2009, 08:41
IanStewart wrote:
chicagocubsrule wrote:
so can we all agree that the correct answer is A?

kevin0118 wrote:

The answer is B. Those who think the answer is A are misunderstanding the question. The question is *not* asking for the solution set for x. It is simply asking what must be true of x. I think we can agree that if x/|x| < x, then either -1 < x < 0, or 1 < x. If that's true, then no matter what x is, x is certainly greater than -1; that must be true. B.

It is of no importance that x cannot equal 0.5. If you think that's relevant to the question, you're not answering the question that's being asked -- you're answering the question "under what conditions will x/|x| always be true?" Notice that's the precise opposite question to the one being asked.

It should be clear, in any case, that A is incorrect; it does not need to be true that x > 1, because x could be -0.5, for example.

I explained, with a different example, here for anyone who remains unconvinced (scroll way down):

http://www.beatthegmat.com/xs-good-one-t27185.html

agreed!! great explanation.

+1
_________________

Smiling wins more friends than frowning

Intern
Joined: 11 Jan 2009
Posts: 2
Schools: Oxford, Cambridge, LSE

### Show Tags

22 Jan 2009, 19:12
X/|X| 1
X>-1
|X|1

I tried plugging in numbers, and got the answer incorrectly.

after reading through all the posts, i finally got it. The answer is B because of the unique way the question is asked. I will categorize this as a "must be true" question.

I will not go into the details of solving the inequality. But the solution is -11.

Now, let us consider a simpler question first. Assuming that John has more than 3 apples, which of the following statement MUST BE TRUE?
A) John has more than 5 apples
B) John has more than 2 apples
the answer is clearly B. The reason is that if John has more than 3 apples, thus he MUST have more than 2 apples.
A is wrong because it may not be true in all circumstances (e.g. John has 4 apples)

Going back to our question, we need to first solve the inequality to get -11. Then, based on the solutions, we can transform the question into a simpler form:
assuming that -11, which of the following statement MUST BE TRUE?
A) X>1
B) X>-1
Answer is B. The reason is that if the value of X is either -11, then the value of X must be greater than X>-1.
A is wrong because it may not be true in all circumstances (e.g. X=-0.5)

Hope this helps

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS: Absolute values   [#permalink] 22 Jan 2009, 19:12

Go to page   Previous    1   2   [ 23 posts ]

Display posts from previous: Sort by