GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Jun 2018, 10:17

### 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

# absolute value and inequality

Author Message
Manager
Joined: 16 Apr 2009
Posts: 213
Schools: Ross

### Show Tags

07 Jul 2009, 17:06
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

|y|>|y+1|

what is the value of y?

--== 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.

_________________

Keep trying no matter how hard it seems, it will get easier.

Senior Manager
Joined: 04 Jun 2008
Posts: 279
Re: absolute value and inequality [#permalink]

### Show Tags

07 Jul 2009, 19:11
Y is negative for sure from the given info. But it seems the question is incomplete, bcoz we cannot get a unique value of Y
Manager
Joined: 15 Apr 2008
Posts: 50
Location: Moscow
Re: absolute value and inequality [#permalink]

### Show Tags

09 Jul 2009, 10:28
Y<-0.5
Intern
Joined: 24 Jun 2009
Posts: 35
Re: absolute value and inequality [#permalink]

### Show Tags

09 Jul 2009, 15:10
y < = -1
that is the value when 1>0 or absolute y > absolute (y-1)
Manager
Joined: 07 Apr 2009
Posts: 144
Re: absolute value and inequality [#permalink]

### Show Tags

13 Jul 2009, 11:44
square it on both sides... we get

$$y^2 > (y+1)^2$$

and hence y < -1/2
Manager
Joined: 16 Apr 2009
Posts: 213
Schools: Ross
Re: absolute value and inequality [#permalink]

### Show Tags

15 Jul 2009, 18:56
Thanks for the replies..
_________________

Keep trying no matter how hard it seems, it will get easier.

Intern
Joined: 15 Jul 2009
Posts: 9
Re: absolute value and inequality [#permalink]

### Show Tags

19 Jul 2009, 10:28
y^2>(y+1)^2

how do you get y<-1/2 ??
Manager
Joined: 07 Apr 2009
Posts: 144
Re: absolute value and inequality [#permalink]

### Show Tags

19 Jul 2009, 12:56
Quote:
y^2>(y+1)^2

how do you get y<-1/2 ??

expand the equation.

$$y^2 > y^2 + 1+2y$$

0 > 1+2y

1+2y < 0

y<-1/2
SVP
Joined: 29 Aug 2007
Posts: 2427
Re: absolute value and inequality [#permalink]

### Show Tags

19 Jul 2009, 19:00
vannu wrote:
|y|>|y+1|

what is the value of y?

2 scenerios:

1. When y >= 0:
The inequality, |y| > |y+1|, is never possible because y cannot be > y+1 when y is +ve..

2. When y<0:
-y > y+1
-y - y > 1
-2y > 1
y < -1/2

Thats the solution.
_________________

Gmat: http://gmatclub.com/forum/everything-you-need-to-prepare-for-the-gmat-revised-77983.html

GT

Intern
Joined: 15 Jul 2009
Posts: 9
Re: absolute value and inequality [#permalink]

### Show Tags

20 Jul 2009, 03:15
Oh! I must have been blind

Ok but we can solve it like this:

since |x| = √x^2

the term can be expressed as

√y^2 > √(y+1)^2 | than we square
y^2 > (y+1)^2 | binomial
y^2 > y^2+2y+1
0 > 2y+1
y < -1/2

that's also the right way to think isn't it?
Thanks a lot folks!

--== 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: absolute value and inequality   [#permalink] 20 Jul 2009, 03:15
Display posts from previous: Sort by

# absolute value and inequality

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.