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

It is currently 23 Oct 2018, 09:10

LIVE NOW!

How to Manage Stress and Anxiety on the GMAT - Live Chat.


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

Which of the following inequalities is equivalent to |2x-|x||<3?

  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: 6406
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Which of the following inequalities is equivalent to |2x-|x||<3?  [#permalink]

Show Tags

New post 28 Mar 2018, 02:03
1
7
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

58% (02:08) correct 42% (02:03) wrong based on 123 sessions

HideShow timer Statistics

[GMAT math practice question]

Which of the following inequalities is equivalent to \(|2x-|x||<3\)?

\(A. 0<x<2\)
\(B. 0<x<3\)
\(C. -1<x<3\)
\(D. 0<x<1\)
\(E. -3<x<1\)

_________________

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 $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Most Helpful Expert Reply
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6406
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: Which of the following inequalities is equivalent to |2x-|x||<3?  [#permalink]

Show Tags

New post 30 Mar 2018, 02:07
1
4
=>

\(|2x-|x||<3\)
\(=> -3 < 2x – |x| < 3\)

Case 1: If \(x ≥ 0\), then \(|x| = x\), and so
\(-3 < 2x – |x| < 3\)
\(=> -3 < x < 3\)
\(=> 0 ≤ x < 3\), since \(x ≥ 0\).

Case 2: If \(x < 0\), then \(|x| = - x\), and so
\(-3 < 2x – |x| < 3\)
\(=> -3 < 3x < 3\)
\(=> - 1< x < 1\)
\(=> - 1< x < 0\), since \(x < 0\).

Thus,\(-1 < x < 3\).

Therefore, the answer is C.


Answer: C
_________________

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 $99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

General Discussion
Manager
Manager
avatar
G
Joined: 20 Feb 2017
Posts: 166
Location: India
Concentration: Operations, Strategy
WE: Engineering (Other)
CAT Tests
Re: Which of the following inequalities is equivalent to |2x-|x||<3?  [#permalink]

Show Tags

New post 28 Mar 2018, 02:38
2
squaring both sides
4x^2+X^2-4x|x|<9
5x^2-4x|x|<9
if x>0
x^2<9
this means 0<x<3 --------1
if x<0
x^2<1
this means -1<x<0 -------------2
combining 1 and 2
-1<x<3 option C
_________________

If you feel the post helped you then do send me the kudos (damn theya re more valuable than $)

GMAT Club Bot
Re: Which of the following inequalities is equivalent to |2x-|x||<3? &nbs [#permalink] 28 Mar 2018, 02:38
Display posts from previous: Sort by

Which of the following inequalities is equivalent to |2x-|x||<3?

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


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®.