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# PS : inequalities

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Senior Manager
Joined: 16 Jan 2009
Posts: 342
Concentration: Technology, Marketing
GMAT 1: 700 Q50 V34
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WE: Sales (Telecommunications)

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03 Jun 2009, 14:20
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Which of the following inequalities has a solution set that when graphed on the number line, is a single segment of finite length?
A. x^4>=1
B. x^3=16
D. 2=1=>(x^4-1)>=0=>(x^2-1)(x^2+1)>=0=>(x+ 1)(x-1) (x^2+1)>=0
(x^2+1)>0, so (x+1)(x-1)>=0 =>x1
B. x^3(x^3-3^3)(x-3)(X^2+3x+3^2)0, then, (x-3)=16, [x^2-4^2]>=0, (x-4)(x+4)>=0, x>4,x=2, or x<=2
IMO E[/spoiler]

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Lahoosaher

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Joined: 12 Apr 2006
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Location: India

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03 Jun 2009, 20:30
amolsk11 wrote:
Which of the following inequalities has a solution set that when graphed on the number line, is a single segment of finite length?
A. x^4>=1
B. x^3<=27
C. x^2>=16
D. 2<=IxI<=5
E. 2<=3x+4<=6

For me it's B as only this equation have a single solution of x = 3. Rest all have mutiple solutions.
Intern
Joined: 17 May 2009
Posts: 10
Location: USA
Schools: Kellogs, Wharton, Chicago

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03 Jun 2009, 20:36
IMO E.

-2/3<=x<=2/3, all other will give more than one segments of finite and infinite lengths.
Senior Manager
Joined: 15 Jan 2008
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04 Jun 2009, 01:20
one more for E..

only this equation has a line with finite length..
Director
Joined: 25 Oct 2008
Posts: 551
Location: Kolkata,India

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05 Jun 2009, 02:08
I've absolutly no clue of how to approach this ques.Can anyone please explain each of the answer choices?I tried folowing the first post but somehow got lost inbetween.Appreciate the help.
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http://gmatclub.com/forum/countdown-beginshas-ended-85483-40.html#p649902

Manager
Joined: 12 Apr 2006
Posts: 204
Location: India

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05 Jun 2009, 04:20
1
tejal777 wrote:
I've absolutly no clue of how to approach this ques.Can anyone please explain each of the answer choices?I tried folowing the first post but somehow got lost inbetween.Appreciate the help.

E. 2=1 There are 2 solutions to this equation x = 1 and x = -1. Now this will make two lines on graph from 0 to 1 and 0 to -1. So not a single segment. Hence incorrect.
B. x^3=16 This will be same as A. x = 4, -4. Hence incorrect.
D. 2 2, -x 5, x < 5. Hence incorrect.
E. 2<=3x+4<=6. This only will have one segment with finite length -2/3<=x<=2/3. Hence correct.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: PS : inequalities   [#permalink] 05 Jun 2009, 04:20
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