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

It is currently 05 May 2015, 05:58

Expecting Soon:

Wharton Round 3 Decisions.   |   Join Chat Room for Live Updates


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.

for You

we will pick new questions that match your level based on your Timer History

Your Progress

every week, we’ll send you an estimated GMAT score based on your performance


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


  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Joined: 05 Jun 2013
Posts: 4
Followers: 0

Kudos [?]: 2 [0], given: 9

Inequalities [#permalink] New post 24 Oct 2013, 22:05
Hello guys,

I have a very silly question for you.

Say we have an equation, (x-2)(x+2) < 0
What would be its solution?

I solve it this way

either (x-2)<0 and (x+2)>0
So, x<2 and x> -2
(x-2)>0 and (x+2)<0
x>2 and x<-2

So when I plot a graph it'd look like this
(attaching the image)

now what
What's the solution if I go this way of plotting a graph?
What is the solution at all? since no area of the numberline actually intersects??

its a very lengthy and confusing process.

I need to get my basics right about inequalities problems.
can someone give me links to inequalities concepts?


x2 -4 less than 0.png
x2 -4 less than 0.png [ 15.14 KiB | Viewed 640 times ]

Expert Post
User avatar
Status: It always seems impossible until it's done!!
Joined: 29 Aug 2012
Posts: 527
Location: India
Followers: 33

Kudos [?]: 487 [0], given: 154

GMAT ToolKit User Premium Member CAT Tests
Re: Inequalities [#permalink] New post 25 Oct 2013, 01:32
Expert's post
1 KUDOS received
Joined: 23 May 2013
Posts: 1
Location: India
Followers: 0

Kudos [?]: 6 [1] , given: 2

Re: Inequalities [#permalink] New post 26 Oct 2013, 12:31
This post received
Hi Infymys,

Your approach to solve this question is right and you have reached to the solution.

The answer to this problem is:
either (x<2 and x> -2), say R1 or (x>2 and x<-2), say R2.

If we consider only integer values, then

R1 = {-1, 0, 1} &
R2 = {..., -5, -4, -3, 3, 4, 5, ...}

x can be any one of these numbers.

So, possible values of x are {..., -5, -4, -3, -1, 0, 1, 3, 4, 5, ...}

For this problem, you can not find a single value of x. The value of x lies in a range.

If you will pick any value in this range, it will satisfy the equation (x - 2)(x + 2) < 0

For example, let x=1, then (x - 2)(x + 2) = (1 - 2)(1 + 2) = (-1)(3) = -3 (which is less than 0).

For a value, which is not there in the range, (in this case, -2 & 2), it will not satisfy the equation.

When x=-2, (x - 2)(x + 2) = (-2 - 2)(-2 + 2) = (-4)(0) = 0 (does not satisfy the equation).
Re: Inequalities   [#permalink] 26 Oct 2013, 12:31
    Similar topics Author Replies Last post
inequality, Ravshonbek 11 09 Sep 2007, 12:18
Inequalities Hermione 3 09 Dec 2006, 04:28
inequalities ugo_castelo 1 06 Aug 2006, 07:23
inequalities mand-y 3 05 Dec 2005, 11:18
inequalities mandy 2 15 Jun 2005, 06:47
Display posts from previous: Sort by


  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®.