Which of the following inequalities...

Expert replies

A4FEVER: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Mon Sep 08, 2008 7:02 am; Location: Montreal

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

Source: Beat The GMAT — Problem Solving | Wed Nov 12, 2008 6:18 pm

poseidon344: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Fri Apr 18, 2008 2:36 am; Location: New Jersey

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

A4FEVER: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Mon Sep 08, 2008 7:02 am; Location: Montreal

by A4FEVER » Thu Nov 13, 2008 8:15 am

I answered the same as you but answer is E for some reason.

A4FEVER: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Mon Sep 08, 2008 7:02 am; Location: Montreal

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.

cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

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.

cramya: Legendary Member; Posts: 2467; Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members; Thanked: 331 times

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

raunekk: Legendary Member; Posts: 1159; Joined: Wed Apr 16, 2008 10:35 pm; Thanked: 56 times

by raunekk » Fri Nov 14, 2008 12:28 am

pls post the original question...

A4FEVER: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Mon Sep 08, 2008 7:02 am; Location: Montreal

by A4FEVER » Sat Nov 15, 2008 7:05 am

Here's the original question from the GMAT Practice test. Sorry for the confusion.

You do not have the required permissions to view the files attached to this post.

mals24: Legendary Member; Posts: 683; Joined: Tue Jul 22, 2008 1:58 pmFollowed by: 2 members; Location: Dubai; Thanked: 73 times

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.

A4FEVER: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Mon Sep 08, 2008 7:02 am; Location: Montreal

by A4FEVER » Sat Nov 15, 2008 9:36 am

Perfect Mals, thanks!

maihuna: Legendary Member; Posts: 1578; Joined: Sun Dec 28, 2008 1:49 amFollowed by: 9 members; Thanked: 82 times; GMAT Score:720

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.

uptowngirl92: Master | Next Rank: 500 Posts; Posts: 447; Joined: Sun Apr 19, 2009 9:08 pm; Location: Kolkata,India; Thanked: 7 times; GMAT Score:670

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.

tohellandback: Legendary Member; Posts: 752; Joined: Sun May 17, 2009 11:04 pm; Location: Tokyo; Thanked: 81 times; GMAT Score:680

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.

You do not have the required permissions to view the files attached to this post.

The powers of two are bloody impolite!!

mna123: Junior | Next Rank: 30 Posts; Posts: 19; Joined: Wed Feb 20, 2008 10:41 am

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

tohellandback: Legendary Member; Posts: 752; Joined: Sun May 17, 2009 11:04 pm; Location: Tokyo; Thanked: 81 times; GMAT Score:680

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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