Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 Oct 2014, 08:59

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Is sqrt( (x-3) ^ 2) = 3 - x? (1) x not equal to 3 (2) -x|x|

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
avatar
Joined: 11 Jun 2007
Posts: 649
Followers: 3

Kudos [?]: 51 [0], given: 0

Is sqrt( (x-3) ^ 2) = 3 - x? (1) x not equal to 3 (2) -x|x| [#permalink] New post 07 Dec 2007, 18:52
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Is sqrt( (x-3) ^ 2) = 3 - x?

(1) x not equal to 3
(2) -x|x| > 0
Manager
Manager
avatar
Joined: 04 Nov 2007
Posts: 52
Followers: 1

Kudos [?]: 5 [0], given: 0

 [#permalink] New post 07 Dec 2007, 19:49
sqrt[ (x-3)^2] has two solutions:
1. x-3 or
2. -(x-3) = 3-x

a. x not equal to 3, the results can be equal if x <3>3. For example: x = 1, sqrt[(x-3)^2] = 2 = 3-x. x = 4, sqrt[(x-3)^2]=1 is not equal to 3-x (3-4=-1). Insuff

b. -x|x| > 0 means that x <0. why? |x| is always positive, thus -x must also be positive. This happens only when x < 0. With x < 0, sqrt[(x-3)^2] will always be equal to 3-x. Sufficient.

Ans = B
CEO
CEO
User avatar
Joined: 29 Aug 2007
Posts: 2500
Followers: 54

Kudos [?]: 512 [0], given: 19

Re: DS: sqrt ( (x-3) ^ 2) = 3 - x? [#permalink] New post 07 Dec 2007, 23:24
eyunni wrote:
Is sqrt( (x-3) ^ 2) = 3 - x?

(1) x not equal to 3
(2) -x|x| > 0


B. since x is -ve, it is always true that sqrt((x-3)^2) = 3 - x.
Re: DS: sqrt ( (x-3) ^ 2) = 3 - x?   [#permalink] 07 Dec 2007, 23:24
    Similar topics Author Replies Last post
Similar
Topics:
Is (x - 3) ^2 = 3 - x 1) x not equal to 3 2) -x|x| siddhans 4 24 Jul 2011, 21:55
Is sqrt.(x-3)^2 = 3-x? (1) x != 3 (2) -x|x| > 0 Looking nupurgupt 3 28 Jul 2007, 11:09
is (sqrt. of (x-3)^2)= 3-x 1. x is not equal to 3 lan583 5 05 Oct 2006, 12:07
Is sqrt{ (X- 3)^2 } = 3-X ? 1) X is not equal to 3 2) -X|X| zoom612 9 30 Jul 2006, 03:58
Is sqrt( (x-3)^2 ) = 3 -x ? 1. x not equal to 3. 2. -x|x| lhotseface 3 22 Mar 2006, 22:29
Display posts from previous: Sort by

Is sqrt( (x-3) ^ 2) = 3 - x? (1) x not equal to 3 (2) -x|x|

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

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

Powered by phpBB © phpBB Group and phpBB SEO

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®.