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

It is currently 25 Aug 2019, 15:32
Register
GMAT Club Tests
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

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.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
CLICK HERE TO HIDE/SHOW EVENTS

How many integer values of x satisfy the equation |x-3|+|x-5|<|x-11| ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
  Sort by Date Sort by Kudos  
Search for:
 
Print view
First unread post
Author Message
TAGS:

Hide Tags

Find Similar Topics 
VP
VP
User avatar
P
Joined: 03 Jun 2019
Posts: 1112
Location: India
Schools: HBS '22, Wharton '22, CBS '22
Premium Member Reviews Badge CAT Tests
Game of Timers Top 25
How many integer values of x satisfy the equation |x-3|+|x-5|<|x-11| ?  [#permalink]

Show Tags

New post 07 Jul 2019, 23:42
2
12
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

36% (02:38) correct 64% (02:44) wrong based on 84 sessions

HideShow timer Statistics

How many integer values of x satisfy the equation |x-3|+|x-5|<|x-11| ?

A. 7
B. 8
C. 9
D. 10
E. 11
Spoiler: OA

_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
Signature Read More
Most Helpful Community Reply
Director
Director
User avatar
V
Status: Manager
Joined: 27 Oct 2018
Posts: 560
Location: Egypt
Concentration: Strategy, International Business
Schools: HKUST '21, NTU '20, Japan MBA
GPA: 3.67
WE: Pharmaceuticals (Health Care)
GMAT ToolKit User
Game of Timers Top 25
Re: How many integer values of x satisfy the equation |x-3|+|x-5|<|x-11| ?  [#permalink]

Show Tags

New post 08 Jul 2019, 03:59
2
3
we have 4 ranges to examine:
at (\(x≥11\)) ,---------> \(x-3+x-5<x-11\) --> (\(x<-3\)) --------------> no common valid values
at (\(11>x≥5\)) ,--> \(x-3+x-5<11-x\) --> (\(x<6.33\)) ------------> 5,6 are common
at (\(5>x≥3\)) ,----> \(x-3+5-x<11-x\) --> (\(x<9\)) ----------------> 3,4 are common
at (\(3>x\)) ,----------> \(3-x+5-x<11-x\) --> (\(x>-3\)) --------------> -2,-1,0,1,2 are common

so we got 9 values C
_________________
Thanks for KUDOS
Signature Read More
General Discussion
Manager
Manager
avatar
B
Joined: 17 Sep 2017
Posts: 105
CAT Tests
Re: How many integer values of x satisfy the equation |x-3|+|x-5|<|x-11| ?  [#permalink]

Show Tags

New post 04 Aug 2019, 02:45
1
Hi, can someone explain the working of this question
Intern
Intern
avatar
B
Joined: 21 Mar 2019
Posts: 10
Re: How many integer values of x satisfy the equation |x-3|+|x-5|<|x-11| ?  [#permalink]

Show Tags

New post 05 Aug 2019, 20:41
Hello,
I am interested too. I don't really know how to tackle this problem. Can someone please give us an explanation ?
Manager
Manager
User avatar
G
Joined: 10 Jan 2017
Posts: 203
Location: India
Reviews Badge CAT Tests
Re: How many integer values of x satisfy the equation |x-3|+|x-5|<|x-11| ?  [#permalink]

Show Tags

New post 05 Aug 2019, 21:31
3
Coggi abhishek31,

please fine the attached image, hope i am able to answer the working principle of modulus questions like this.
Attachments

20190806_095709.jpg
20190806_095709.jpg [ 2.45 MiB | Viewed 466 times ]


_________________
Your limitation—it's only your imagination.
Please hit +1 Kudos if you like my Post.
Signature Read More
Intern
Intern
avatar
B
Joined: 21 Mar 2019
Posts: 10
Re: How many integer values of x satisfy the equation |x-3|+|x-5|<|x-11| ?  [#permalink]

Show Tags

New post 05 Aug 2019, 23:44
Thank you very much ! I understand now ! :) :) :thumbup:
GMAT Club Bot
Re: How many integer values of x satisfy the equation |x-3|+|x-5|<|x-11| ?   [#permalink] 05 Aug 2019, 23:44
Print view
First unread post
Display posts from previous: Sort by

How many integer values of x satisfy the equation |x-3|+|x-5|<|x-11| ?

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

Moderators: chetan2u, Gladiator59, VeritasKarishma, Bunuel, generis

Search for:





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

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions