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Which of the following inequalities...

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Junior | Next Rank: 30 Posts
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by A4FEVER » Wed Nov 12, 2008 6:18 pm
has a solution set that, when graphed on the number line, is a single line segment of finite lenght?

A) X6 ≥1
B) X5≤ 27
C) X4≥ 16
D) 4≤ x ≤ 9
E) 3 ≤ 2x+6≤8

Source: GMAC practice test - note that I have changed the numbers to adhere to copywright restrictions.

Question: I hesitated between answers D & E because I would have thought that they both allow you to draw a line segment of finite lenght but I guess I'm missing something. I checked all OG inequalities problems in both guides and did not find a similar problem.

Can anyone please help!?

Thanks
A4Fever
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Answer

by poseidon344 » Wed Nov 12, 2008 8:52 pm
What is the oa, I am getting D. wILL POST ANSWER AND REASOING IF CORRECT. THANKS
PLAY HARD AND WORK HARD
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by A4FEVER » Thu Nov 13, 2008 8:15 am
I answered the same as you but answer is E for some reason.
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by A4FEVER » Thu Nov 13, 2008 3:49 pm
little mistake in answer choice D - X is between absolute value brackets |x|. Admist that little mistake, I still don't get it.
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by cramya » Thu Nov 13, 2008 9:44 pm
A4FEVER ,please post the original question as an attachment. There are lof of gmat prep problem that have been posted here.
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by cramya » Thu Nov 13, 2008 9:47 pm
A small change in the values or wording in a problem can throw off the actual correct solution.

Let us know when u post the correct question
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by raunekk » Fri Nov 14, 2008 12:28 am
pls post the original question...
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by A4FEVER » Sat Nov 15, 2008 7:05 am
Here's the original question from the GMAT Practice test. Sorry for the confusion.
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by mals24 » Sat Nov 15, 2008 7:55 am
A, B & C all have infinite length

D 2<|x|<5

This option will give you 2 line segments of finite lengths

-2>-x>-5
2<x<5

E 2<3x+4<6
This is the only option which will give you a single line of finite length. Just solve for x.

-2/3<x<2/3.

Hence the line is made of points that lie between -2/3 and 2/3.

Hope this helps.
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by A4FEVER » Sat Nov 15, 2008 9:36 am
Perfect Mals, thanks!
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by maihuna » Wed Apr 15, 2009 7:39 am
mals24 wrote:A, B & C all have infinite length

D 2<|x|<5

This option will give you 2 line segments of finite lengths

-2>-x>-5
2<[/u]x<5

E 2<3x+4<6
This is the only option which will give you a single line of finite length. Just solve for x.

-2/3<x<2/3.

Hence the line is made of points that lie between -2/3 and 2/3.

Hope this helps.


HiMals,
to so;lve the inequality:
2<= |x| <=5

two steps:
|x| >=2 => x>= 2 or x<= -2
for |x|<=5 -5<x<5

So three lines two with infinite and one wit finite length will result.
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by uptowngirl92 » Fri Jun 05, 2009 1:18 am
I've absolutly no clue of how to approach this ques.Can anyone please explain each of the answer choices in a detailed and structered for for us who are totally lost on this?Thanks!appreciate the help.
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by tohellandback » Mon Jun 08, 2009 7:31 am
PLZ see the attachment.
the graph of any even power of x will be similar to that of x^2
graph for any odd power of x will be similar to the one for x^3

the graph for |x| is as show..
you see only the graph of the straight line can satisfy the conditions given in the question
Hope it helps.
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(27.5 KiB) Downloaded 234 times
The powers of two are bloody impolite!!
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by mna123 » Wed Jun 10, 2009 6:53 am
Can some one please tell me what is "GMAC Practice Test" Are you talking about 2 official GMAT tests ?

I have not seen that, please helppppppppppp
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by tohellandback » Wed Jun 10, 2009 6:57 am
mna123 wrote:Can some one please tell me what is "GMAC Practice Test" Are you talking about 2 official GMAT tests ?

I have not seen that, please helppppppppppp
yes..you can download the GMAT prep software from mba.com once you register on the site
The powers of two are bloody impolite!!
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