If zy<xy<0, is |x-z|+|x|=|z| : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 20 Jan 2017, 02:33

### 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

# If zy<xy<0, is |x-z|+|x|=|z|

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Manager
Joined: 19 Oct 2008
Posts: 95
Followers: 1

Kudos [?]: 36 [0], given: 0

If zy<xy<0, is |x-z|+|x|=|z| [#permalink]

### Show Tags

26 Mar 2009, 09:53
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.

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

I think this was posted before but I can't find it. Can you please explain your answers:

If zy<xy<0, is |x-z|+|x|=|z|

1) z<x
2) y>0
Senior Manager
Joined: 16 Jan 2009
Posts: 359
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
Followers: 4

Kudos [?]: 199 [0], given: 16

Re: DS GMAT Prep - Inequalities [#permalink]

### Show Tags

26 Mar 2009, 11:48
If zy<xy<0, is |x-z|+|x|=|z|
1) z<x
2) y>0

we will be able to solve |x-z|+|x|=|z| if we get to know the signs of x and Z.
1) z<x , this just rephrases the given information which is not useful. No infrmation is specified regarding y , so we can not deduce the sign of x or z. INSUFFICIENT.

2)y>0
given : zy<xy<0
if y > 0 , x and z must be less than 0
also z<x<0.

now we can answer the inequality . SUFFICIENT.

_________________

Lahoosaher

Manager
Joined: 19 May 2008
Posts: 165
Location: Mumbai
Followers: 1

Kudos [?]: 11 [0], given: 0

Re: DS GMAT Prep - Inequalities [#permalink]

### Show Tags

26 Mar 2009, 12:44
I agree - Statement 2 is sufficient - so the answer is B.

What is the OA?
Manager
Joined: 19 Oct 2008
Posts: 95
Followers: 1

Kudos [?]: 36 [0], given: 0

Re: DS GMAT Prep - Inequalities [#permalink]

### Show Tags

26 Mar 2009, 13:13
Sorry guys, OA is D.
Manager
Joined: 28 Jul 2004
Posts: 136
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth
Followers: 1

Kudos [?]: 60 [0], given: 2

Re: DS GMAT Prep - Inequalities [#permalink]

### Show Tags

26 Mar 2009, 13:28
Accountant wrote:
I think this was posted before but I can't find it. Can you please explain your answers:

If zy<xy<0, is |x-z|+|x|=|z|

1) z<x
2) y>0

from given condition zy<xy

from (1), z<x --> y is positive --> z and x, both are negative and z < x. So, simplifying the equation:

LHS = |x-z|+|x| = x-z + (-x) = x-z-x = -z
RHS = |z| = -z (since z<0)

which implies, LHS = RHS , hence (1) is sufficient

from (2) , y> 0 --> z <0, x<0. Noe proceed the same way as above, that will give us a solution.

Both (1) and (2) are sufficient separately. Therefore, answer is (D).
_________________

kris

SVP
Joined: 28 Dec 2005
Posts: 1575
Followers: 3

Kudos [?]: 147 [0], given: 2

Re: DS GMAT Prep - Inequalities [#permalink]

### Show Tags

26 Mar 2009, 18:01
krishan wrote:
Accountant wrote:
I think this was posted before but I can't find it. Can you please explain your answers:

If zy<xy<0, is |x-z|+|x|=|z|

1) z<x
2) y>0

from given condition zy<xy

from (1), z<x --> y is positive --> z and x, both are negative and z < x. So, simplifying the equation:

LHS = |x-z|+|x| = x-z + (-x) = x-z-x = -z
RHS = |z| = -z (since z<0)

which implies, LHS = RHS , hence (1) is sufficient

from (2) , y> 0 --> z <0, x<0. Noe proceed the same way as above, that will give us a solution.

Both (1) and (2) are sufficient separately. Therefore, answer is (D).

Agree 100%

You can rewrite the expression in the question as zy-xy<0 --> y(z-x) < 0. This leads to two options; either y<0 and z-x>0 or y>0 and z-x<0

From stat 1, you know z<x , so just quickly picking numbers, you see that the equality in question never holds.

From stat 2, you know z<x, and same approach as above gives the same result
Senior Manager
Joined: 16 Jan 2009
Posts: 359
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
GPA: 3
WE: Sales (Telecommunications)
Followers: 4

Kudos [?]: 199 [0], given: 16

Re: DS GMAT Prep - Inequalities [#permalink]

### Show Tags

27 Mar 2009, 02:18
I get it now.
Thanks pmenon.

_________________

Lahoosaher

Re: DS GMAT Prep - Inequalities   [#permalink] 27 Mar 2009, 02:18
Display posts from previous: Sort by

# If zy<xy<0, is |x-z|+|x|=|z|

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.