It is currently 18 Dec 2017, 06:57

Final Week of R1 Decisions:

CHAT Rooms | MIT Sloan | McCombs 


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.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If x is not equal to 0, is |x| less than 1? (1) x/|x| < x

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Director
Director
avatar
Joined: 23 May 2008
Posts: 800

Kudos [?]: 87 [0], given: 0

If x is not equal to 0, is |x| less than 1? (1) x/|x| < x [#permalink]

Show Tags

New post 18 Aug 2008, 12:22
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

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

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If x is not equal to 0, is |x| less than 1?

(1) x/|x| < x

(2) |x| > x

Kudos [?]: 87 [0], given: 0

1 KUDOS received
SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1790

Kudos [?]: 1106 [1], given: 5

Location: New York
Re: DS: inequality [#permalink]

Show Tags

New post 18 Aug 2008, 12:48
1
This post received
KUDOS
bigtreezl wrote:
If x is not equal to 0, is |x| less than 1?

(1) x/|x| < x

(2) |x| > x


(1) x/|x| < x
two solutions.
when x>0 then x>1 --- case(a1)
when x<0 then x>-1 --> -1<x<0 --- case(b1)

from case b1 ---> |x|<1
from case a1-- |x|>1
insuffcient
(2)|x| > x
when x>0 x>x -->5>5 (Impossible)
when x<0 |x| > x ---> |-5|>-5 (possi ble)
x<0 --> from this |x| can be <1 or >1 -->case (c1)
insufficient

Combine both
x<0 and -1<x<0
definitely |x| <1

C is the answer.
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Kudos [?]: 1106 [1], given: 5

Intern
Intern
avatar
Joined: 17 Aug 2008
Posts: 19

Kudos [?]: 1 [0], given: 0

Re: DS: inequality [#permalink]

Show Tags

New post 18 Aug 2008, 14:33
If x is not equal to 0, is |x| less than 1?

(1) x/|x| < x

(2) |x| > x

From question, |x|<1?

Choice 1: x/|x| < x, gives, |x| > 1; so this is sufficient to answer the question.
Choice 2: |x| > x; This is only possible if x is negative. But, the statement is true when -1< x< 0 and also -infinity < x < -1; So, this does not give us a definitve answer.

So, Answer is A. What are your thoughts guys?

Kudos [?]: 1 [0], given: 0

Senior Manager
Senior Manager
User avatar
Joined: 29 Mar 2008
Posts: 348

Kudos [?]: 101 [0], given: 0

Re: DS: inequality [#permalink]

Show Tags

New post 18 Aug 2008, 15:29
If x is not equal to 0, is |x| less than 1?

(1) x/|x| < x

(2) |x| > x

Modifying the question stem, |x| less than 1 => is -1 < x < 1?

(1) tells us that 1< x and -1 < x, which means that we cannot definitively say that x lies between -1 and 1.
(2) tells us that x < 0, which again does not tell us if x lies between -1 and 1.

Combining (1) and (2) tells us that x lies between -1 and 0 and this information is enough to definitively say, x lies between -1 and 1 or |x| is less than 1.

Hence C.
_________________

To find what you seek in the road of life, the best proverb of all is that which says:
"Leave no stone unturned."
-Edward Bulwer Lytton

Kudos [?]: 101 [0], given: 0

Intern
Intern
avatar
Joined: 15 Jul 2008
Posts: 5

Kudos [?]: [0], given: 0

Re: DS: inequality [#permalink]

Show Tags

New post 18 Aug 2008, 18:59
x/|x| < x.....suff as x between -1 ans 0

Kudos [?]: [0], given: 0

Re: DS: inequality   [#permalink] 18 Aug 2008, 18:59
Display posts from previous: Sort by

If x is not equal to 0, is |x| less than 1? (1) x/|x| < x

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


cron

GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.