It is currently 17 Nov 2017, 22:18

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

For what values of x is the following inequality

Author Message
Senior Manager
Joined: 30 Aug 2003
Posts: 328

Kudos [?]: 26 [0], given: 0

Location: BACARDIVILLE
For what values of x is the following inequality [#permalink]

Show Tags

02 Feb 2004, 16:48
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

For what values of x is the following inequality 3x-(2/x)>1 true?
_________________

Pls include reasoning along with all answer posts.
****GMAT Loco****
Este examen me conduce jodiendo loco

Kudos [?]: 26 [0], given: 0

Manager
Joined: 25 Jan 2004
Posts: 92

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

Location: China

Show Tags

02 Feb 2004, 17:10
(1, +inf) U (-2/3, 0)

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

SVP
Joined: 30 Oct 2003
Posts: 1788

Kudos [?]: 114 [0], given: 0

Location: NewJersey USA

Show Tags

02 Feb 2004, 17:46
x < 2/3 and x > 1
( x - 1) ( x-2/3 ) > 0

Kudos [?]: 114 [0], given: 0

Manager
Joined: 25 Jan 2004
Posts: 92

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

Location: China

Show Tags

02 Feb 2004, 17:50
lets assume x = -1, given x < 2/3

3(-1) -2/(-1) = -1, which is not greater than 1

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

Manager
Joined: 04 Jun 2003
Posts: 61

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

Show Tags

02 Feb 2004, 19:48
agree with Zhung Gazi

x E (1,inf) U (-2/3,0)
In this inequality, the cirtical point of 0 is very important.

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

Manager
Joined: 25 Jan 2004
Posts: 92

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

Location: China

Show Tags

02 Feb 2004, 19:53
3x - (2/x) > 1
(3x^2 - 2)/x > 1
(3x^2 -x -2)/x > 0

(3x+2)(x-1)/x > 0

(3x+2)x(x-1)/ x^2 > 0

(3x+2)x(x-1) > 0

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

02 Feb 2004, 19:53
Display posts from previous: Sort by

For what values of x is the following inequality

Moderator: chetan2u

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