It is currently 21 Sep 2017, 16:32

### 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

# Inequality

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Manager
Joined: 03 Aug 2010
Posts: 105

Kudos [?]: 90 [0], given: 63

GMAT Date: 08-08-2011

### Show Tags

09 Oct 2010, 12:52
(10-w)(9-w)<9

Solve for w.

Simple arithmetic, but I am drawing a blank on solving for a variable in inequality.
Through trial and error, I figured out w, but can someone walk me through the system of solving for w.

Kudos [?]: 90 [0], given: 63

Retired Moderator
Joined: 02 Sep 2010
Posts: 794

Kudos [?]: 1155 [0], given: 25

Location: London

### Show Tags

09 Oct 2010, 17:03
Yalephd wrote:
(10-w)(9-w)<9

Solve for w.

Simple arithmetic, but I am drawing a blank on solving for a variable in inequality.
Through trial and error, I figured out w, but can someone walk me through the system of solving for w.

$$(10-w)(9-w) \lt 9$$
$$(w-9)(w-10) \lt 9$$
$$w^2-19w+90 \lt 9$$
$$w^2-19w+81 \lt 0$$
$$(w-P)(w-Q) \lt 0$$

P = (19+sqrt(37))/2
Q= (19-sqrt(37))/2

Solution is Q<w<P OR $$\frac{19-sqrt{37}}{2} < w < \frac{19+sqrt{37}}{2}$$
_________________

Kudos [?]: 1155 [0], given: 25

Re: Inequality   [#permalink] 09 Oct 2010, 17:03
Similar topics Replies Last post
Similar
Topics:
Inequalities? 3 20 Jan 2011, 07:09
an inequality 1 04 Oct 2010, 09:27
2 Inequality 4 29 Jan 2012, 22:18
31 Dec 1969, 17:00
31 Dec 1969, 17:00
Display posts from previous: Sort by

# Inequality

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.