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

 It is currently 30 May 2017, 05:29

### 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 2x - 3y < x^2?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 17 Jan 2006
Posts: 92
Followers: 1

Kudos [?]: 17 [0], given: 0

Is 2x - 3y < x^2? [#permalink]

### Show Tags

04 Jun 2006, 01:00
3
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

60% (01:00) correct 40% (01:04) wrong based on 184 sessions

### HideShow timer Statistics

Is 2x - 3y < x^2?

(1) 2x - 3y = -2
(2) x > 2 and y > 0

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-2x-3y-x-100596.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Oct 2014, 07:28, edited 2 times in total.
Edited the question and added the OA
Manager
Joined: 09 May 2006
Posts: 99
Location: Bangalore, India
Followers: 2

Kudos [?]: 42 [0], given: 0

Re: Is 2x - 3y < x^2? [#permalink]

### Show Tags

04 Jun 2006, 03:27
dinesh8 wrote:
Is 2x-3y<x^2?

1. 2x-3y =-2
2. X> 2 and y>0

D

Statement 1
any square value is >= 0 hence x^2 > 2x-3y

Statement2

for x>2 , X^2 >2x, 2x-x^2<0
for y>0, 3y >0

therefore 3y>2x-x^2
Director
Joined: 26 Sep 2005
Posts: 572
Location: Munich,Germany
Followers: 1

Kudos [?]: 21 [0], given: 0

Re: Is 2x - 3y < x^2? [#permalink]

### Show Tags

11 Jun 2006, 09:32
got D, although did it more by plugging in values.
SVP
Joined: 30 Mar 2006
Posts: 1728
Followers: 1

Kudos [?]: 84 [0], given: 0

Re: Is 2x - 3y < x^2? [#permalink]

### Show Tags

13 Jun 2006, 01:28
1
This post was
BOOKMARKED
Will go with D .

1) 2x-3y = -2
A square of any number is > 0 hence 2x-3y<x^2

2) x> 2 and y > 0
Putting any values for x and y and you will see that 2x-3y < x^2
Director
Joined: 29 Nov 2012
Posts: 885
Followers: 15

Kudos [?]: 1195 [0], given: 543

Re: Is 2x - 3y < x^2? [#permalink]

### Show Tags

04 Jul 2013, 01:33
dinesh8 wrote:
Is $$2x-3y$$<$$x^2$$?

1. $$2x-3y =-2$$
2. $$x> 2$$ and $$y>0$$

How is it D?

I'm getting A

But in choice B there can be multiple cases

for example

X=3 and y=10 in this case its a Yes

but if x=3, y=1

the question becomes is $$X^2 > 3$$ we can't answer that?
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios http://gmatclub.com/forum/gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Math Expert
Joined: 02 Sep 2009
Posts: 39071
Followers: 7762

Kudos [?]: 106620 [0], given: 11630

Re: Is 2x - 3y < x^2? [#permalink]

### Show Tags

04 Jul 2013, 01:38
Expert's post
3
This post was
BOOKMARKED
fozzzy wrote:
dinesh8 wrote:
Is $$2x-3y$$<$$x^2$$?

1. $$2x-3y =-2$$
2. $$x> 2$$ and $$y>0$$

How is it D?

I'm getting A

But in choice B there can be multiple cases

for example

X=3 and y=10 in this case its a Yes

but if x=3, y=1

the question becomes is $$X^2 > 3$$ we can't answer that?

Is $$2x-3y<x^2$$?

(1) $$2x-3y=-2$$ --> question becomes: is $$-2<x^2$$? as square of a number is always non-negative ($$x^2\geq{0}$$) then $$x^2\geq{0}>-2$$. Sufficient.

(2) $$x>2$$ and $$y>0$$ --> is $$2x-3y<x^2$$ --> is $$x(x-2)+3y>0$$ --> as $$x>2$$ then $$x(x-2)$$ is a positive number and as $$y>0$$ then $$3y$$ is also a positive number --> sum of two positive numbers is more than zero, hence $$x(x-2)+3y>0$$ is true. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: is-2x-3y-x-100596.html
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 39071
Followers: 7762

Kudos [?]: 106620 [0], given: 11630

Re: Is 2x - 3y < x^2? [#permalink]

### Show Tags

04 Jul 2013, 01:42
fozzzy wrote:
dinesh8 wrote:
Is $$2x-3y$$<$$x^2$$?

1. $$2x-3y =-2$$
2. $$x> 2$$ and $$y>0$$

How is it D?

I'm getting A

But in choice B there can be multiple cases

for example

X=3 and y=10 in this case its a Yes

but if x=3, y=1

the question becomes is $$X^2 > 3$$ we can't answer that?

If x=3 and y=1 we still have an YES answer: 2*3-3*1=3<9=x^2.
_________________
Re: Is 2x - 3y < x^2?   [#permalink] 04 Jul 2013, 01:42
Similar topics Replies Last post
Similar
Topics:
3 Is x = 0? (1) x^2 y = x^3 y (2) x^2 / y = x^3 y 3 24 May 2017, 15:36
1 Is |x-2|+|x+2|<4? 4 13 Jan 2012, 21:45
2 Is 2x - 3y < x^2? 3 08 May 2015, 08:49
32 Is 2x - 3y < x^2 ? 21 11 Feb 2017, 00:46
5 If x 0, is x^2 / |x| < 1? 12 09 Jun 2015, 23:13
Display posts from previous: Sort by

# Is 2x - 3y < x^2?

 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®.