Last visit was: 24 Jul 2024, 14:15 It is currently 24 Jul 2024, 14:15
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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
User avatar
Manager
Manager
Joined: 19 Oct 2011
Posts: 87
Own Kudos [?]: 1255 [6]
Given Kudos: 33
Location: India
Send PM
User avatar
Manager
Manager
Joined: 05 Mar 2011
Status:Retaking next month
Affiliations: None
Posts: 103
Own Kudos [?]: 787 [1]
Given Kudos: 42
Location: India
Concentration: Marketing, Entrepreneurship
GMAT 1: 570 Q42 V27
GPA: 3.01
WE:Sales (Manufacturing)
Send PM
User avatar
Manager
Manager
Joined: 17 Nov 2011
Status:Employed
Posts: 67
Own Kudos [?]: 436 [1]
Given Kudos: 10
Location: Pakistan
Concentration: International Business, Marketing
GMAT 1: 720 Q49 V40
GPA: 3.2
WE:Business Development (Internet and New Media)
Send PM
Math Expert
Joined: 02 Sep 2009
Posts: 94609
Own Kudos [?]: 643635 [2]
Given Kudos: 86737
Send PM
Re: Is x negative? (1) y + x = -22 (2) y – x < -22 [#permalink]
2
Kudos
Expert Reply
Is x negative?

(1) y + x = -22. Clearly insufficient: the sum of two numbers is negative: either both are negative or just one of them, but we don't know which one, since no info about y.

(2) y – x < -22. Also insufficient: no info about y.

(1)+(2) Substitute \(y=-x-22\) from (1) into (2): \((-x-22)-x<-22\) --> rearrange and cancel -22 on both sides: \(2x>0\) --> \(x>0\), hence the answer to the question whether \(x\) negative is NO. Sufficient.

Answer: C.

Hope it's clear.
Math Expert
Joined: 02 Sep 2009
Posts: 94609
Own Kudos [?]: 643635 [0]
Given Kudos: 86737
Send PM
Re: Is x negative? [#permalink]
Expert Reply
Bumping for review and further discussion.
Director
Director
Joined: 03 Feb 2013
Posts: 793
Own Kudos [?]: 2606 [0]
Given Kudos: 567
Location: India
Concentration: Operations, Strategy
GMAT 1: 760 Q49 V44
GPA: 3.88
WE:Engineering (Computer Software)
Send PM
Re: Is x negative? [#permalink]
dvinoth86 wrote:
Is x negative?

(1) y + x = -22
(2) y – x < -22


Statement 1) x depends on y and value of y is not specified -> So Insufficient.
Statement 2) x depends on y and value of y is not specified -> So Insufficient

Adding both the equations
2y < -44 => y < -22

As per the 1st equation, x > 0 to make the equation correct.
Sufficient.
Alum
Joined: 12 Aug 2015
Posts: 2270
Own Kudos [?]: 3199 [0]
Given Kudos: 893
GRE 1: Q169 V154
Send PM
Re: Is x negative? [#permalink]
Nice question...
Combining the two statements we can say that X>0
hence C
Director
Director
Joined: 09 Jan 2020
Posts: 953
Own Kudos [?]: 235 [0]
Given Kudos: 432
Location: United States
Send PM
Re: Is x negative? [#permalink]
Is x negative?

(1) y + x = -22

Can't determine x or y individually. INSUFFICIENT.

(2) y – x < -22

Can't determine x or y individually. INSUFFICIENT.

(1&2)
y - x = -22
y - x < -22

Lets say x was 0.
y - 0 = -22
y - 0 < -22?
For y to be less than -22, x has to be > 0. SUFFICIENT.

Answer is C.
Intern
Intern
Joined: 19 Dec 2019
Posts: 31
Own Kudos [?]: 20 [0]
Given Kudos: 6
Send PM
Re: Is x negative? [#permalink]
kinjiGC wrote:
Adding both the equations
2y < -44 => y < -22

I am confused here. Can we add the two like this? One is equation and second is inequality.
User avatar
Non-Human User
Joined: 09 Sep 2013
Posts: 34076
Own Kudos [?]: 853 [0]
Given Kudos: 0
Send PM
Re: Is x negative? [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
GMAT Club Bot
Re: Is x negative? [#permalink]
Moderator:
Math Expert
94609 posts