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 →

Inequalities.

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |
Legendary Member
Posts: 966
Joined: Sat Jan 02, 2010 8:06 amFollowed by: 21 members
Thanked: 230 times

by shankar.ashwin » Mon Oct 10, 2011 8:50 am
(x+2) = +/- 2(x-2)

Case 1
x+2 = 2x-4
x=6.

Case 2

x+2=-2x+4
3x=2
x=2/3.

Edited..
Last edited by shankar.ashwin on Mon Oct 10, 2011 11:13 am, edited 2 times in total.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 61
Joined: Tue Apr 13, 2010 3:29 am
Thanked: 8 times

by n@resh » Mon Oct 10, 2011 10:20 am
Neha Mittal wrote:|x+2| = 2|x-2| find range of x


I do not understand why x = 6 is an invalid solution
X = 2/3 and 6 for two different cases.

so range will be : [2/3, 6)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 61
Joined: Tue Apr 13, 2010 3:29 am
Thanked: 8 times

by n@resh » Mon Oct 10, 2011 10:20 am
Duplicate post
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 273
Joined: Tue Sep 21, 2010 5:37 amFollowed by: 74 members
Location: Durham, NC
Thanked: 154 times
GMAT Score:770

by Whitney Garner » Mon Oct 10, 2011 2:44 pm
n@resh wrote:
Neha Mittal wrote:|x+2| = 2|x-2| find range of x


I do not understand why x = 6 is an invalid solution
X = 2/3 and 6 for two different cases.

so range will be : [2/3, 6)
Just as a side-note, there is no "range" here as [2/3,6) would mean that values of X from (and including) 2/3 all the way up to 6 would satisfy this expression, and that is not the case (just check x=1 for example).

The range would simply be the values [2/3] and [6].

:)
Whit
Whitney Garner
GMAT/GRE/EA Instructor & Anxiety/Accommodations Coach
www.whitneygarner.com

Contributor to Beat The GMAT!

Math is a lot like love - a simple idea that can easily get complicated :heart-eyes:
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1