BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

tricky inequality

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 15
Joined: Fri Dec 05, 2008 12:14 pmFollowed by: 1 member
Location: MN, USA
GMAT Score:720
by DominicanKing » Fri Jan 23, 2009 6:50 pm
If x is positive which of the following could be the correct ordering of 1/x, 2x and x^2
I. x^2 < 2x < 1/x
II. x^2 < 1/x < 2x
III. 2x < x^2 < 1/x

a none
b I only
c III only
d I & II only
e I II and III
JIB
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 160
Joined: Sat Dec 20, 2008 9:12 pm
Thanked: 11 times

Re: tricky inequality

by aroon7 » Fri Jan 23, 2009 7:19 pm
DominicanKing wrote:If x is positive which of the following could be the correct ordering of 1/x, 2x and x^2
I. x^2 < 2x < 1/x
II. x^2 < 1/x < 2x
III. 2x < x^2 < 1/x

a none
b I only
c III only
d I & II only
e I II and III
i get B but not confident...
when x is 1/2 I is true
i cant find values which could satisfy other two options
--------------------------
i am back!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 15
Joined: Fri Dec 05, 2008 12:14 pmFollowed by: 1 member
Location: MN, USA
GMAT Score:720

by DominicanKing » Fri Jan 23, 2009 7:31 pm
I got B as well, but its not the correct answer according to the GMATPrep software...maybe the we're right and they're wrong
JIB
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 226
Joined: Tue Jan 13, 2009 1:27 pmFollowed by: 1 member
Thanked: 23 times

by awesomeusername » Fri Jan 23, 2009 7:31 pm
I get B too. But I've been surprised many times...

edit, when x = .99, #2 is true...
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 28
Joined: Sun Dec 23, 2007 1:53 am
Location: New York, USA
Thanked: 1 times
GMAT Score:610

by nitinrai » Fri Jan 23, 2009 7:40 pm
Here is the solution from Ian (I know its difficult)

https://www.beatthegmat.com/number-prope ... 13538.html
I firmly believe that one can succeed at almost anything for which one has unlimited enthusiasm.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 138
Joined: Thu Jan 15, 2009 7:52 am
Location: Steamboat Springs, CO
Thanked: 15 times

by gaggleofgirls » Sat Jan 24, 2009 12:27 pm
You can also solve this by graphing it with the equations:

y = 1/x
y = 2/x
and
y = x^2

When you do (and I will try to come back later and post a picture of the graph, but I have to run now), you will see that there are 4 places where any 2 of the three lines cross, so there are 4 different configurations of which equation is >< the other ones (and the crossing points themselves, where you can see when two of the equations are equal.

Of the 4 possibilities (that don't have = in them) only two of them are in the list, I and II.

-Carrie
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1