Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 24 Jul 2016, 08:38

### 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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 03 Aug 2010
Posts: 106
GMAT Date: 08-08-2011
Followers: 1

Kudos [?]: 50 [0], given: 63

### 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.
Retired Moderator
Joined: 02 Sep 2010
Posts: 805
Location: London
Followers: 99

Kudos [?]: 827 [0], given: 25

### 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 $$\frac{19-sqrt{37}}{2} < w < \frac{19+sqrt{37}}{2}$$
_________________
Re: Inequality   [#permalink] 09 Oct 2010, 17:03
Similar topics Replies Last post
Similar
Topics:
Inequalities? 3 19 Jan 2011, 10:56
an inequality 1 04 Oct 2010, 03:36
2 Inequality 4 05 Jun 2010, 14:19
57 Laura sells encyclopaedias, and her monthly income has two 22 29 May 2008, 13:54
219 If x/|x|<x which of the following must be true about x? 90 15 Aug 2008, 04:06
Display posts from previous: Sort by