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 →

Modulus

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 184
Joined: Tue Sep 07, 2010 9:43 amFollowed by: 1 member
Thanked: 6 times
by rahulvsd » Sat Apr 14, 2012 10:01 pm
Which of the following inequalities must be true for the value of x to be between -1 and 5?

A. |3 - x| < -3
B. -1< |x| < 5
C. |x| - 2 > 2
D. |2 + x| > 3
E. |x - 2| < 3

[spoiler]OA: E Source: GMAT Club Diagnostic Test[/spoiler]
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1239
Joined: Tue Apr 26, 2011 6:25 amFollowed by: 26 members
Thanked: 233 times
GMAT Score:680

by sam2304 » Sat Apr 14, 2012 10:49 pm
rahulvsd wrote:Which of the following inequalities must be true for the value of x to be between -1 and 5?

A. |3 - x| < -3
B. -1< |x| < 5
C. |x| - 2 > 2
D. |2 + x| > 3
E. |x - 2| < 3

[spoiler]OA: E Source: GMAT Club Diagnostic Test[/spoiler]
Choose 3 values for these type of problems. one outside the left limit, one outside right limit and one within the limit.

Go with one within the limit first. say x = 1, we can see only 2nd and 5th option gets satisfied.
Now check for the outer limits with B and E, say x = -2, E doesn't gets satisfied
Take the right outer limit, x = 6, E doesn't gets satisfied.

IMO E.
Getting defeated is just a temporary notion, giving it up is what makes it permanent.
https://gmatandbeyond.blogspot.in/
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 134
Joined: Fri Apr 06, 2012 3:11 amFollowed by: 5 members
Thanked: 35 times

by Shalabh's Quants » Mon Apr 16, 2012 5:52 am
rahulvsd wrote:Which of the following inequalities must be true for the value of x to be between -1 and 5?

A. |3 - x| < -3
B. -1< |x| < 5
C. |x| - 2 > 2
D. |2 + x| > 3
E. |x - 2| < 3

[spoiler]OA: E Source: GMAT Club Diagnostic Test[/spoiler]
A. |3 - x| < -3 => 3-x<-3 or -x<-6 or x>6. Can't be ans.

B. -1< |x| < 5 => -1<x<5 or 1>x>-5. Taking both into consideration -1<x<1. Can't be ans.

C. |x| - 2 > 2 => |x|>4 => x>4 or x<-4. Can't be ans.

D. |2 + x| > 3 => 2+x>3 => x>1 or 2+x<-3 => x<-5. Can't be ans.

E. |x - 2| < 3 => x-2<3 => x<5 or x-2>-3 => x>-1 or -1<x<5. This is the ans.

Ans E.
Shalabh Jain,
e-GMAT Instructor
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1