Last visit was: 19 Nov 2025, 18:10 It is currently 19 Nov 2025, 18:10
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
Close
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
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
seofah
User avatar
Joined: 29 Aug 2005
Last visit: 03 Apr 2010
Posts: 486
Own Kudos:
3,121
Given Kudos: 7
Concentration: Finance, Entrepreneurship
Posts: 486
Kudos: 3,121
x-2+x+2<4? 1) x<0 2) -2<x<2 17 Nov 2008, 09:08
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
N
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

(N/A)

Question Stats:

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

History

Date
Time
Result
Not Attempted Yet
Someone asked me this DS, I couldn't solve.
¦x-2¦+¦x+2¦<4?
1) x<0
2) -2<x<2
With explanations please!



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
FN
User avatar
Current Student
Joined: 28 Dec 2004
Last visit: 07 May 2012
Posts: 1,576
Own Kudos:
675
Given Kudos: 2
Location: New York City
Concentration: Social Enterprise
Schools:Wharton'11 HBS'12
Posts: 1,576
Kudos: 675
x-2+x+2<4? 1) x<0 2) -2<x<2 17 Nov 2008, 09:21
Kudos
Add Kudos
Bookmarks
Bookmark this Post
botirvoy
Someone asked me this DS, I couldn't solve.
¦x-2¦+¦x+2¦<4?
1) x<0
2) -2<x<2
With explanations please!
Show more


plug in values if x=-1

|-3|+|1|=4

if x=-2

|-4|+|0|=4

if x=-3

|-5|+|-1|=6

its always greater than 4..

so A it is
User avatar
walker
User avatar
Joined: 17 Nov 2007
Last visit: 25 May 2025
Posts: 2,398
Own Kudos:
10,717
Given Kudos: 362
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Expert
Expert reply
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Posts: 2,398
Kudos: 10,717
x-2+x+2<4? 1) x<0 2) -2<x<2 17 Nov 2008, 09:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Why not D? I think |x-2|+|x+2|<4 is always false for any x.
User avatar
bindrakaran001
User avatar
Joined: 03 Oct 2008
Last visit: 25 Dec 2008
Posts: 4
Own Kudos:
2
Posts: 4
Kudos: 2
x-2+x+2<4? 1) x<0 2) -2<x<2 17 Nov 2008, 09:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
while chkn the possible values in st 2..

what if x is 0..

the eqn becomes 4 < 4 ?
User avatar
walker
User avatar
Joined: 17 Nov 2007
Last visit: 25 May 2025
Posts: 2,398
Own Kudos:
10,717
Given Kudos: 362
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Expert
Expert reply
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Posts: 2,398
Kudos: 10,717
x-2+x+2<4? 1) x<0 2) -2<x<2 17 Nov 2008, 09:53
Kudos
Add Kudos
Bookmarks
Bookmark this Post
bindrakaran001
while chkn the possible values in st 2..

what if x is 0..

the eqn becomes 4 < 4 ?
Show more

under statement 2 |x-2|+|x+2| always equals 4.
User avatar
scthakur
User avatar
Joined: 17 Jun 2008
Last visit: 30 Jul 2009
Posts: 609
Own Kudos:
449
Posts: 609
Kudos: 449
x-2+x+2<4? 1) x<0 2) -2<x<2 17 Nov 2008, 10:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
For x < -2, the inequality gives the result as x > -2.....not possible.
For -2 < x < 2, the inequality gives the result as 4 < 4....not possible.
Forx > 2, the iniequality gives the result as x < 2....not possible.

Thus, for any value of x, the given inequality is not possible and hence, answer will be D.
User avatar
pm4553
User avatar
Joined: 27 Jun 2008
Last visit: 10 Apr 2012
Posts: 329
Own Kudos:
136
Given Kudos: 92
Concentration: General Management
WE 1: Investment Banking - 6yrs
Posts: 329
Kudos: 136
x-2+x+2<4? 1) x<0 2) -2<x<2 17 Nov 2008, 10:50
Kudos
Add Kudos
Bookmarks
Bookmark this Post
bindrakaran001
while chkn the possible values in st 2..

what if x is 0..

the eqn becomes 4 < 4 ?
Show more

Precisely. The question doesnt mention ¦x-2¦+¦x+2¦<=4?, its only mentions ¦x-2¦+¦x+2¦<4?
So, why D? you dont have a definitive answer.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
Moderators:
Bunuel
Math Expert
105390 posts
GMATBusters
GMAT Tutor
1924 posts