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

It is currently 24 Oct 2014, 19:26

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Paper test question cordinate geometry involving inequality

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 01 Dec 2007
Posts: 57
Followers: 0

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

Paper test question cordinate geometry involving inequality [#permalink] New post 10 Sep 2008, 07:55
Image

answer is E .please clarify the stragedy for solving it.
SVP
SVP
User avatar
Joined: 07 Nov 2007
Posts: 1829
Location: New York
Followers: 27

Kudos [?]: 472 [0], given: 5

Re: Paper test question cordinate geometry involving inequality [#permalink] New post 10 Sep 2008, 08:09
blover wrote:
Image

answer is E .please clarify the stragedy for solving it.


2x-3y <= -6
--> y>= 2/3x+6

draw the line y=2/3x+6 on XY plane.
this line cuts throw I,II,III co-ordinatesl.
y>2/3x+6 represents above the line.. which is also not in IV quadrant.

to lie in IV quadrant x should be postive and y shouldbe negative..

when x postive.. y is always +ve.

So Ans IV (E)
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Current Student
User avatar
Joined: 11 May 2008
Posts: 559
Followers: 7

Kudos [?]: 34 [0], given: 0

Re: Paper test question cordinate geometry involving inequality [#permalink] New post 10 Sep 2008, 08:37
x2suresh wrote:
blover wrote:
Image

answer is E .please clarify the stragedy for solving it.


2x-3y <= -6
--> y>= 2/3x+6

draw the line y=2/3x+6 on XY plane.
this line cuts throw I,II,III co-ordinatesl.
y>2/3x+6 represents above the line.. which is also not in IV quadrant.

to lie in IV quadrant x should be postive and y shouldbe negative..

when x postive.. y is always +ve.

So Ans IV (E)



good one suresh!!!
nice explanation
:bouncer
CEO
CEO
User avatar
Joined: 29 Aug 2007
Posts: 2500
Followers: 54

Kudos [?]: 512 [0], given: 19

Re: Paper test question cordinate geometry involving inequality [#permalink] New post 10 Sep 2008, 08:45
blover wrote:
Image

answer is E .please clarify the stragedy for solving it.


alternatively - just plug in:

if you do that, values for (x, y) satisfies for all quadrants but IV.

for ex: if x = 1 and y = -1
2x - 3y = 2+3 = 5 which is greater than -6.

any +ve value for x and -ve value for y donot satisfy the inequality 2x - 3y =< - 6.
_________________

Verbal: new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html


GT

Manager
Manager
avatar
Joined: 01 Dec 2007
Posts: 57
Followers: 0

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

Re: Paper test question cordinate geometry involving inequality [#permalink] New post 10 Sep 2008, 09:48
LESSON - The General Objective of this lesson is to study linear inequalities.

PERFORMANCE OBJECTIVES - At the end of this lesson the student will be able to graph linear inequalities in two variables.

Linear Inequalities in Two Variables - Linear inequalities can be graphed almost the same way we graph linear equations. Consider the example from the previous section. The graph of the equation

2x - 3y = 6


Every point on the line satisfies the equation

2x - 3y = 6



This means that if you choose any point in the region above or below the line, those points will satisfy one of the following inequalities.

2x - 3y > 6

or

2x - 3y < 6

All you need to do is choose a test point to decide which it is. The test point will usually be (0,0).

Example - Graph the inequality

2x - 3y > 6 .

Step 1 - Solve the related equality for y.

Step 2 - Determine two points by choosing suitable values for x. Let x = 0 and 3. Then y equals -2 and 0 respectively.
Step 3 - Locate these points A(0,-2), B(30) and draw a straight line through them, completely dividing the plane into two regions.
Step 4 - Choose the test point (0,0) and substitute it into the original inequality, to see if it satisfies the inequality.
If it does, the region the test point is in, is the solution.
If it doesn't, the region the test point is not in, is the solution.
2(0) - 3(0) = 0 > 6 No.

Therefore the solution is the region below the line -

2x - 3y = 6.
Re: Paper test question cordinate geometry involving inequality   [#permalink] 10 Sep 2008, 09:48
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic IS 7 < SQRT N < 8? 1) N>50 2) N<60 cmugeria 4 17 Aug 2010, 07:45
fractional inequality Ds paper test blover 2 17 Sep 2008, 01:37
cordinate geometry ds paper test blover 5 17 Sep 2008, 00:31
1 Inequality involving absolute values english_august 5 08 Nov 2007, 16:14
ds: cordinate geometry mirhaque 2 16 Apr 2005, 15:02
Display posts from previous: Sort by

Paper test question cordinate geometry involving inequality

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.