Last visit was: 22 Apr 2026, 00:54 It is currently 22 Apr 2026, 00:54
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
   1   2 
655-705 (Hard)|   Inequalities|            
User avatar
valeriacastro11
User avatar
Joined: 05 Jul 2021
Last visit: 29 Nov 2022
Posts: 21
Own Kudos:
3
 [2]
Given Kudos: 54
Location: Ecuador
Posts: 21
Kudos: 3
 [2]
What values of x have a corresponding value of y that satisfies both x 15 Aug 2022, 18:11
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Thank you! this is explanation is great and much easy

TusharViv
What values of x have a corresponding value of y that satisfies both xy > 0 and xy = x + y ?


A. x≤1

B. −1<x≤0

C. 0<x≤1

D. x>1

E. All real numbers

xy > 0 this means either:

1. x>0 AND y>0
2. x<0 AND y<0

xy = x + y

Now the other part of the question. Therefore x+ y > 0 since xy > 0

x + y > 0 can only be true if x or y are positive or both. And since we have the 2 statements above. x<0 AND y<0 can be eliminated.

Therefore eliminate A, B, E

Now between C and D. Get y on one side

xy = x + y

xy - y = x

y(x-1) = x

y = x / (x-1)

x cannot be 1. Eliminate C Hence answer is D
Also if x=1 was not part of C. The denominator would be negative if x was a fraction between 0 and 1, hence giving a negative y value but we know this cannot be true since BOTH x AND y must be positive
Show more
User avatar
tombox
User avatar
Joined: 09 May 2024
Last visit: 13 Jan 2025
Posts: 6
Own Kudos:
1
Given Kudos: 50
Posts: 6
Kudos: 1
What values of x have a corresponding value of y that satisfies both x 29 Nov 2024, 10:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We know that xy>0 so we also know that x/y>0. Keep also in mind that x and y cannot be 0.
Now just rewrite the second equation as x-(x/y)=1 and it becomes clear that x must be >1

parkhydel
What values of x have a corresponding value of y that satisfies both xy > 0 and xy = x + y ?


A. \(x \leq 1\)

B. \(-1 < x \leq 0\)

C. \(0 < x \leq 1\)

D. \(x > 1\)

E. All real numbers


PS22680.02
Show more
User avatar
Kavicogsci
User avatar
Joined: 13 Jul 2024
Last visit: 09 Feb 2025
Posts: 157
Own Kudos:
102
Given Kudos: 154
GMAT 1: 710 Q48 V40
GMAT 1: 710 Q48 V40
Posts: 157
Kudos: 102
What values of x have a corresponding value of y that satisfies both x 30 Dec 2024, 02:23
Kudos
Add Kudos
Bookmarks
Bookmark this Post
XY>0
Both have same signs - Either both positive or both negative. None 0

XY=X+Y
Both cant be -ve as RHS will be -ve but LHS will be +ve

X,Y must be>0
Eliminates A,B,E
Now between C and E
Lets take a value greater than 1
If both x and y are 2 each the equation is held. So D

parkhydel
What values of x have a corresponding value of y that satisfies both xy > 0 and xy = x + y ?


A. \(x \leq 1\)

B. \(-1 < x \leq 0\)

C. \(0 < x \leq 1\)

D. \(x > 1\)

E. All real numbers


PS22680.02
Show more
User avatar
kingbucky
User avatar
Joined: 28 Jul 2023
Last visit: 17 Apr 2026
Posts: 498
Own Kudos:
584
 [1]
Given Kudos: 329
Location: India
Products:
My Reviews
Posts: 498
Kudos: 584
 [1]
What values of x have a corresponding value of y that satisfies both x 02 Jun 2025, 22:35
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Bunuel
Could you change the option (A) to reflect exactly what Quant Review text has ?
The above screenshot taken from Quant Review 2025-26.
parkhydel
What values of x have a corresponding value of y that satisfies both xy > 0 and xy = x + y ?


A. \(x \leq 1\)

B. \(-1 < x \leq 0\)

C. \(0 < x \leq 1\)

D. \(x > 1\)

E. All real numbers


PS22680.02
Show more
Show Spoiler
Attachment:
GMAT-Club-Forum-qgminx21.png
GMAT-Club-Forum-qgminx21.png [ 17.33 KiB | Viewed 359 times ]
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 21 Apr 2026
Posts: 109,740
Own Kudos:
810,516
Given Kudos: 105,816
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,740
Kudos: 810,516
What values of x have a corresponding value of y that satisfies both x 02 Jun 2025, 23:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kingbucky

Bunuel
Could you change the option (A) to reflect exactly what Quant Review text has ?
The above screenshot taken from Quant Review 2025-26.
parkhydel
What values of x have a corresponding value of y that satisfies both xy > 0 and xy = x + y ?


A. \(x \leq 1\)

B. \(-1 < x \leq 0\)

C. \(0 < x \leq 1\)

D. \(x > 1\)

E. All real numbers


PS22680.02
Show Spoiler
Attachment:
GMAT-Club-Forum-qgminx21.png
Show more

Edited the option. Thank you! +1
User avatar
Gaurav07
User avatar
Joined: 15 May 2021
Last visit: 20 Apr 2026
Posts: 54
Own Kudos:
4
Given Kudos: 61
Location: India
Schools: Smith (A)
GPA: 4
Products:
GMAT Club Tests
Schools: Smith (A)
Posts: 54
Kudos: 4
What values of x have a corresponding value of y that satisfies both x 14 Mar 2026, 03:28
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I didn't do much calculation in this, considering i went through with logic here, if xy is greater than 0, both can be -ve or +ve and not one can be 0, both can't be negative because xy=x+y will give us a negative value if both are negative, so in order to satisfy both, both have to be positive. now if we consider 0.2 and 0.3, the point moves 2 places when we multiply, whereas one if we add, so x has to be greater than 1?
parkhydel
What values of x have a corresponding value of y that satisfies both xy > 0 and xy = x + y ?

A. \(x \leq -1\)

B. \(-1 < x \leq 0\)

C. \(0 < x \leq 1\)

D. \(x > 1\)

E. All real numbers


PS22680.02
Show more
   1   2 
Moderators:
Bunuel
Math Expert
109740 posts
Krunaal
Tuck School Moderator
853 posts