Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 28 May 2017, 01:46

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

Is sqrt((x-3)^2) = 3-x? (1) x ? 3 (2) x | x | > 0

Author Message
Intern
Joined: 06 Aug 2005
Posts: 3
Followers: 0

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

Is sqrt((x-3)^2) = 3-x? (1) x ? 3 (2) x | x | > 0 [#permalink]

Show Tags

08 Nov 2005, 19:20
00:00

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.

Is sqrt((x-3)^2) = 3-x?
(1) x ≠ 3
(2) â€“ x | x | > 0

ans is : C .
Why?
Intern
Joined: 01 Jun 2005
Posts: 40
Followers: 0

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

Show Tags

08 Nov 2005, 20:53
as13 wrote:
Is sqrt((x-3)^2) = 3-x?
(1) x ≠ 3
(2) â€“ x | x | > 0

ans is : C .
Why?

Note: in GMAT sqrt(x^2) = lxl

therefore the question is just: is lx-3l = -(x-3)? i.e. is (x-3) negative?
From 1: x ≠3. this eliminates the possibility of x-3 = 0; but it doesn't tell us if (x-3)<0

From 2: -xlxl > 0 => x<0. If x <0 than (x-3) <0. therefore sufficient.
The statement -xlxl > 0 already precludes x from being = 3. Hence, i don't understand why 1 is necessary.
I would go with B
SVP
Joined: 24 Sep 2005
Posts: 1885
Followers: 22

Kudos [?]: 323 [0], given: 0

Show Tags

08 Nov 2005, 20:58
as13 wrote:
Is sqrt((x-3)^2) = 3-x?
(1) x ≠ 3
(2) â€“ x | x | > 0

ans is : C .
Why?

Huh, weird...it shouldn't be C ...coz from 2, -x|x|>0 ---> x <0 ...of coz x<3 ...so (1) doesn't elaborate anything to (2) . From this point, C is already not the correct answer.
SVP
Joined: 24 Sep 2005
Posts: 1885
Followers: 22

Kudos [?]: 323 [0], given: 0

Show Tags

08 Nov 2005, 21:01
agree with tank's point of view. It must be B!
08 Nov 2005, 21:01
Display posts from previous: Sort by