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

Redeem

equivalent to -4 < x < 8

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

equivalent to -4 < x < 8

by sanju09 » Thu Mar 24, 2011 2:55 am
Which of the following inequalities is equivalent to -4 < x < 8?
A. |x - 1| < 7
B. |x + 2| < 6
C. |x + 3| < 5
D. |x - 2| < 6
E. None of the above



McGraw Hills
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 423
Joined: Fri Jun 11, 2010 7:59 am
Location: Seattle, WA
Thanked: 86 times
Followed by:2 members

by srcc25anu » Thu Mar 24, 2011 3:47 am
IMO D |x-2| <6
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 436
Joined: Tue Feb 08, 2011 3:07 am
Thanked: 72 times
Followed by:6 members

by manpsingh87 » Thu Mar 24, 2011 10:16 am
sanju09 wrote:Which of the following inequalities is equivalent to -4 < x < 8?
A. |x - 1| < 7
B. |x + 2| < 6
C. |x + 3| < 5
D. |x - 2| < 6
E. None of the above



McGraw Hills

case 1) when x>2; then |x-2|=x-2; x-2<6; x<8;

case 2) when x<2; then |x-2|= -(x-2); -x+2<6;-x<4;x>-4

combining both the cases we have -4<x<8; hence D
O Excellence... my search for you is on... you can be far.. but not beyond my reach!
Top
Post new topic Post Reply
• Page 1 of 1