Find all School-related info fast with the new School-Specific MBA Forum

It is currently 27 Aug 2014, 17:10

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Which of the following inequalitieshas a solution set that

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Senior Manager
Senior Manager
User avatar
Joined: 07 Feb 2008
Posts: 315
Followers: 1

Kudos [?]: 37 [0], given: 1

GMAT Tests User
Which of the following inequalitieshas a solution set that [#permalink] New post 05 Oct 2008, 06:47
Which of the following inequalitieshas a solution set that when graphed on the number line, is a single line segment of finite length.

a) x^4 > or = 1
b) X^3 < or = 27
c) x^2 > or = 16
d) 2 < or = |x|< or = 5
e) 2 < or = 3x + 4 < or = 6
SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1579
Followers: 12

Kudos [?]: 180 [0], given: 0

GMAT Tests User
Re: which of the following [#permalink] New post 05 Oct 2008, 11:50
E. When you simplify, this reduces to -2/3 <= x <= 2/3.
CEO
CEO
User avatar
Joined: 29 Aug 2007
Posts: 2501
Followers: 53

Kudos [?]: 500 [0], given: 19

GMAT Tests User
Re: which of the following [#permalink] New post 06 Oct 2008, 14:23
Vavali wrote:
Which of the following inequalitieshas a solution set that when graphed on the number line, is a single line segment of finite length.

a) x^4 > or = 1
b) X^3 < or = 27
c) x^2 > or = 16
d) 2 < or = |x|< or = 5
e) 2 < or = 3x + 4 < or = 6


itis obvious taht ABC are infinite and D and E are finite. But whats the diff. bet D and E? how do we say E is finite and D is not? for me D and E, both, look finite.

D. 2 < or = |x|< or = 5
-5 < x < 5
so iti s finite.

E. 2 <= 3x + 4 <= 6
(2-4) <= 3x <= (6-4)
-2 <= 3x <= 2
-2/3 <= x <= 2/3

also finite :roll:

is this question complete?
_________________

Verbal: new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

SVP
SVP
avatar
Joined: 17 Jun 2008
Posts: 1579
Followers: 12

Kudos [?]: 180 [0], given: 0

GMAT Tests User
Re: which of the following [#permalink] New post 07 Oct 2008, 02:49
GMAT TIGER wrote:
Vavali wrote:
Which of the following inequalitieshas a solution set that when graphed on the number line, is a single line segment of finite length.

a) x^4 > or = 1
b) X^3 < or = 27
c) x^2 > or = 16
d) 2 < or = |x|< or = 5
e) 2 < or = 3x + 4 < or = 6


itis obvious taht ABC are infinite and D and E are finite. But whats the diff. bet D and E? how do we say E is finite and D is not? for me D and E, both, look finite.

D. 2 < or = |x|< or = 5
-5 < x < 5
so iti s finite.

E. 2 <= 3x + 4 <= 6
(2-4) <= 3x <= (6-4)
-2 <= 3x <= 2
-2/3 <= x <= 2/3

also finite :roll:

is this question complete?


Trying to understand why the question is not complete.
Manager
Manager
User avatar
Joined: 01 Jan 2008
Posts: 227
Schools: Booth, Stern, Haas
Followers: 1

Kudos [?]: 44 [0], given: 2

GMAT Tests User
Re: which of the following [#permalink] New post 07 Oct 2008, 02:56
Quote:
d) 2 < or = |x|< or

Trying to understand why the question is not complete.


pls, can you explain the question itself
Director
Director
avatar
Joined: 01 Jan 2008
Posts: 629
Followers: 3

Kudos [?]: 130 [0], given: 1

GMAT Tests User
Re: which of the following [#permalink] New post 08 Oct 2008, 08:15
Vavali wrote:
Which of the following inequalitieshas a solution set that when graphed on the number line, is a single line segment of finite length.

a) x^4 > or = 1
b) X^3 < or = 27
c) x^2 > or = 16
d) 2 < or = |x|< or = 5
e) 2 < or = 3x + 4 < or = 6


a) infinite
b) infinite
c) infinite
d) finite but two segments: x between -5 and -2 and x between 2 and 5.
e) one finite segment

E is the answer
Director
Director
avatar
Joined: 01 Jan 2008
Posts: 629
Followers: 3

Kudos [?]: 130 [0], given: 1

GMAT Tests User
Re: which of the following [#permalink] New post 10 Oct 2008, 05:18
Explanation of the question:

Vavali wrote:
Which of the following inequalities has a solution set that when graphed on the number line, is a single line segment of finite length.

There are several inequailities below. Their solutions can be presented as a set of line segments, some of which might be finite and some infinite. Which one of the equations has a solution set that consists of only one finite length segment.

Vavali wrote:
a) x^4 > or = 1

solution is a set of two intervals of infinte length x<-1 and x>1

Vavali wrote:
b) X^3 < or = 27

solution is a set of one interval of inifite length x<3
Vavali wrote:
c) x^2 > or = 16

solution is a set of two intervals of infinite length x<-4 and x>4
Vavali wrote:
d) 2 < or = |x|< or = 5

solution is a sete of two intervals of finite length -5<x<-2 and 2<x<5
Vavali wrote:
e) 2 < or = 3x + 4 < or = 6

solution is a set of one interval of finite length -2/3<x<2/3

I hope that helps!
Re: which of the following   [#permalink] 10 Oct 2008, 05:18
    Similar topics Author Replies Last post
Similar
Topics:
Which of the following inequalities has a solution set that, target7++ 3 14 Mar 2007, 04:47
Which of the following inequalities has a solution set that, alimad 1 25 Sep 2006, 21:27
Which of the following inequalities has a solution set that shehreenquayyum 1 23 Jul 2006, 16:59
Which of the following inequalities has a solution set that brutus 1 29 Jan 2006, 19:55
Which of the following inequalities has a solution set that, mbassmbass04 2 10 Aug 2005, 08:52
Display posts from previous: Sort by

Which of the following inequalitieshas a solution set that

  Question banks Downloads My Bookmarks Reviews Important topics  


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.