GMAT Changed on April 16th - Read about the latest changes here

 It is currently 26 Apr 2018, 08:09

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 x^2 > x? (1) x^2 > 1 (2) x > -1

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 44650
Is x^2 > x? (1) x^2 > 1 (2) x > -1 [#permalink]

Show Tags

04 Dec 2017, 01:04
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

65% (00:44) correct 35% (01:05) wrong based on 39 sessions

HideShow timer Statistics

Is x^2 > x?

(1) x^2 > 1
(2) x > -1
[Reveal] Spoiler: OA

_________________
Intern
Joined: 08 Aug 2017
Posts: 11
Re: Is x^2 > x? (1) x^2 > 1 (2) x > -1 [#permalink]

Show Tags

04 Dec 2017, 01:33
statement 1 is suff.
the only interval where x^2<x is when x is between 0 and 1.
if x^2>1, this translates to the fact that x is not between 0 and 1.

hence, A.
Senior Manager
Joined: 09 Mar 2017
Posts: 383
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
Is x^2 > x? (1) x^2 > 1 (2) x > -1 [#permalink]

Show Tags

Updated on: 04 Dec 2017, 05:21
Is x^2 > x?

Rephrase question : x(x-1) >0 ?
(1)$$x^2$$ > 1
(x - 1)(x + 1)>0
range: (-infinity ,-1) U (1, infinity)
Substitute values from this range into the question and check whether we get positive value
x= -2
(-2)*(-3) >0 ? ..........yes
x=1.5
(1.5*0.5) >0 ? ...........yes
Sufficient

(2) x > -1
substitute 0.5
(.5)(-.5) >0? ....no
substitute -0.5
(-0.5)(-1.5) >0? ...yes

--A--
_________________

------------------------------
"Trust the timing of your life"
Hit Kudus if this has helped you get closer to your goal, and also to assist others save time. Tq

Originally posted by TaN1213 on 04 Dec 2017, 03:15.
Last edited by TaN1213 on 04 Dec 2017, 05:21, edited 1 time in total.
Intern
Joined: 26 Oct 2017
Posts: 28
Re: Is x^2 > x? (1) x^2 > 1 (2) x > -1 [#permalink]

Show Tags

04 Dec 2017, 05:05
Question ask if the range of x

X<0 and x>1

St1:
X>1
X<-1

Sufficient

St2:
X>-1
X=0 (NO)
X=4 (YES)

Not sufficient

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Manager
Joined: 20 Feb 2017
Posts: 75
Re: Is x^2 > x? (1) x^2 > 1 (2) x > -1 [#permalink]

Show Tags

04 Dec 2017, 05:24
x^2 > x
or x(x-1)>0
or the question is asking is x>1 or x<0
Statement 1
x^2>1
(x-1)(x+1)>0
either x>1 or x<-1 in both the case it is sufficient
statement 2
x>-1
not sufficient , since x can be 0 (which doesn't satisfy my equation )
Hence IMO A
Re: Is x^2 > x? (1) x^2 > 1 (2) x > -1   [#permalink] 04 Dec 2017, 05:24
Display posts from previous: Sort by