It is currently 15 Nov 2018, 06:34
My Tests

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.

xy < 0

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Moderator
Moderator
User avatar
Joined: 18 Apr 2015
Posts: 4876
Followers: 74

Kudos [?]: 973 [0], given: 4479

CAT Tests
xy < 0 [#permalink] New post 09 Aug 2017, 15:30
Expert's post
00:00

Question Stats:

78% (00:28) correct 21% (00:54) wrong based on 33 sessions


\(xy < 0\)

Quantity A
Quantity B
| x + y |
|x| + |y|


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Get the 2 FREE GREPrepclub Tests

Director
Director
Joined: 03 Sep 2017
Posts: 521
Followers: 1

Kudos [?]: 327 [0], given: 66

Re: xy < 0 [#permalink] New post 16 Oct 2017, 00:05
This is the so called triangular inequality which states that \(|x+y|\leq|x|+|y|\). Thus, the answer is B or C.

Since xy < 0 it must be that either x or y are negative. Thus, in this case it is impossible to have an equality for whatever number we fit in the equation. E.g. x = 1, y = -2; then, \(|1-2|\leq|1|+|-2|\) which becomes \(1<3\).

Thus, the answer is B
1 KUDOS received
Intern
Intern
Joined: 08 Dec 2017
Posts: 34
Followers: 1

Kudos [?]: 36 [1] , given: 66

Re: xy < 0 [#permalink] New post 07 Feb 2018, 00:55
1
This post received
KUDOS
xy<0, in here when x is negative, y will be positive. When x is positive, y will be negative.
Q.A | x + y |
Q.B |x| + |y|
Q.B will be greater because it sums up two positive numbers.
So, B is the answer.
Intern
Intern
Joined: 07 Feb 2018
Posts: 13
Followers: 0

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

Re: xy < 0 [#permalink] New post 07 Feb 2018, 01:44
Answer: B
Intern
Intern
Joined: 11 Jan 2018
Posts: 44
Followers: 0

Kudos [?]: 26 [0], given: 7

Re: xy < 0 [#permalink] New post 17 Feb 2018, 01:18
It's not a hard question.

Simply, the product of two numbers is negative, so one must be negative and other one must be positive.
Therefore, combined mode will always be less than the sum of individual modes.

Choice B correct.
_________________

Persistence >>>>>>> Success

Don't say thanks, just give KUDOS.
1 kudos = 1000 Thanks

Intern
Intern
Joined: 17 Feb 2018
Posts: 10
Followers: 0

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

Re: xy < 0 [#permalink] New post 17 Feb 2018, 16:04
IlCreatore wrote:
This is the so called triangular inequality which states that \(|x+y|\leq|x|+|y|\). Thus, the answer is B or C.

Since xy < 0 it must be that either x or y are negative. Thus, in this case it is impossible to have an equality for whatever number we fit in the equation. E.g. x = 1, y = -2; then, \(|1-2|\leq|1|+|-2|\) which becomes \(1<3\).

Thus, the answer is B


never heard of this inequality, where have you seen in featured before?
Re: xy < 0   [#permalink] 17 Feb 2018, 16:04
Display posts from previous: Sort by

xy < 0

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.