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

It is currently 17 Jan 2019, 13:40

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
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

Which of the following inequalities is equal to |2x-|x||<6? A. -2<x<0

  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: 6810
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Which of the following inequalities is equal to |2x-|x||<6? A. -2<x<0  [#permalink]

Show Tags

New post 04 Oct 2017, 00:45
3
12
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

51% (01:24) correct 49% (01:39) wrong based on 239 sessions

HideShow timer Statistics

[GMAT math practice question]

Which of the following inequalities is equal to |2x-|x||<6?

A. -2<x<0
B. 0<x<6
C. -2<x<6
D. -2<x<2
E. -6<x<6

_________________

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 Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52231
Re: Which of the following inequalities is equal to |2x-|x||<6? A. -2<x<0  [#permalink]

Show Tags

New post 04 Oct 2017, 00:47
2
Manager
Manager
User avatar
G
Joined: 30 Jan 2017
Posts: 82
Location: India
Schools: ISB '19
GMAT 1: 630 Q47 V29
GMAT 2: 660 Q47 V34
GMAT 3: 730 Q49 V40
GPA: 3.9
Re: Which of the following inequalities is equal to |2x-|x||<6? A. -2<x<0  [#permalink]

Show Tags

New post 04 Oct 2017, 01:31
2
1
MathRevolution wrote:
[GMAT math practice question]

Which of the following inequalities is equal to |2x-|x||<6?

A. -2<x<0
B. 0<x<6
C. -2<x<6
D. -2<x<2
E. -6<x<6



You can write the inequality as:

-6 < |2x-|x|| < 6

Case 1:
If x >= 0 ; |x| = x
|2x-|x|| becomes 2x - x = x

-6 < x < 6
But as x>=0 we only take the values as 0 < x < 6

Case 2:
If x < 0 ; |x| = -x
|2x-|x|| becomes 2x + x = 3x

-6 < 3x < 6
-2 < x < 2
But as x < 0 we only take the values as -2 < x < 0

Combining the results of Case 1 and 2
-2 < x < 6
Answer : C
Manager
Manager
User avatar
G
Joined: 07 Jun 2017
Posts: 174
Location: India
Concentration: Technology, General Management
GMAT 1: 660 Q46 V38
GPA: 3.6
WE: Information Technology (Computer Software)
GMAT ToolKit User Reviews Badge
Re: Which of the following inequalities is equal to |2x-|x||<6? A. -2<x<0  [#permalink]

Show Tags

New post 04 Oct 2017, 02:44
1. check the answers
the maximum range provided in the answer is -6, -2, 2, 0 and 6
check for this range

-6, gives us that |-12-|-6||<6
|-12-6| <6
18<6 not true
Eliminate E

next value given in the answer series is -2
Holds good, so left value in the number line should be 2

Now check for right value by putting 6
Holds good so the range should be -2 to 6

So clearly answer should be C
_________________

Regards,
Naveen
email: nkmungila@gmail.com
Please press kudos if you like this post

Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 6810
GMAT 1: 760 Q51 V42
GPA: 3.82
Premium Member
Re: Which of the following inequalities is equal to |2x-|x||<6? A. -2<x<0  [#permalink]

Show Tags

New post 06 Oct 2017, 01:42
=>

We should split real number of x into two cases x ≥ 0 and x < 0.

Case 1: x ≥ 0
|2x-|x||<6 ⬄ | 2x – x | < 6 ⬄ |x| < 6 ⬄ -6<x<6.
From the assumption of the case, x ≥ 0, we have 0 ≤ x < 6.

Case 2: x < 0
|2x-|x||<6 ⬄ | 2x + x | < 6 ⬄ |3x| < 6 ⬄ |x| < 2 ⬄ -2<x<2.
From the assumption of the case, x < 0, we have -2<x<0.

Thus, we have -2 < x < 6.

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 $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"

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9419
Premium Member
Re: Which of the following inequalities is equal to |2x-|x||<6? A. -2<x<0  [#permalink]

Show Tags

New post 29 Oct 2018, 06:20
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Which of the following inequalities is equal to |2x-|x||<6? A. -2<x<0 &nbs [#permalink] 29 Oct 2018, 06:20
Display posts from previous: Sort by

Which of the following inequalities is equal to |2x-|x||<6? A. -2<x<0

  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®.