GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 26 May 2019, 10:38

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

M61-22

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 7372
GMAT 1: 760 Q51 V42
GPA: 3.82
M61-22  [#permalink]

Show Tags

New post 18 Jun 2018, 05:27
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

100% (01:14) correct 0% (00:00) wrong based on 7 sessions

HideShow timer Statistics

Which of the following inequalities holds if \(3.24 < x < 5.36\)?


A. \(|x+4.3| < 1.06\)
B. \(|x-4.3| < 1.06\)
C. \(|x-2.1| < 0.53\)
D. \(|x+2.1| < 0.53\)
E. \(|x-2.1| < 1.06\)

_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 7372
GMAT 1: 760 Q51 V42
GPA: 3.82
Re M61-22  [#permalink]

Show Tags

New post 18 Jun 2018, 05:27
Official Solution:


Which of the following inequalities holds if \(3.24 < x < 5.36\)?


A. \(|x+4.3| < 1.06\)
B. \(|x-4.3| < 1.06\)
C. \(|x-2.1| < 0.53\)
D. \(|x+2.1| < 0.53\)
E. \(|x-2.1| < 1.06\)


The inequality \(|x - a| < b\) is equivalent to the inequality \(a - b < x < a + b\).

Note that a is the average of \(a – b\) and \(a + b\) and \(b\) is half of the difference between \(a – b\) and \(a + b\), that is, \(b = \frac{(a + b ) – ( a – b )} {2}\).

Thus, the inequality \(3.24 < x < 5.36\) is equivalent to the inequality \(|x – 4.3 | < 1.06\) since \(a = \frac{(3.24 + 5.36)}{2} = \frac{8.6}{2} = 4.3\) and \(b = \frac{(5.36 – 3.24)}{2} = \frac{2.12}{2} = 1.06\).


Answer: B
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $149 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Intern
Intern
avatar
B
Joined: 14 Jun 2018
Posts: 47
Location: India
Concentration: International Business, Marketing
Re: M61-22  [#permalink]

Show Tags

New post 14 Sep 2018, 07:15
hello,

can anyone please help in understanding the above concept of inequalities.

The inequality |x−a|<b|x−a|<b is equivalent to the inequality a−b < x <a+b.

also, How is this true: Note that a is the average of a–b and a+b and b is half of the difference between (a–b) and a+b, that is, b=(a+b)–(a–b)/2.
GMAT Club Bot
Re: M61-22   [#permalink] 14 Sep 2018, 07:15
Display posts from previous: Sort by

M61-22

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderators: chetan2u, Bunuel



Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.