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

It is currently 20 Oct 2014, 03:57


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

Is |x| < 1

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4870
Location: Pune, India
Followers: 1147

Kudos [?]: 5332 [0], given: 165

Re: Is |x| < 1 [#permalink] New post 02 Feb 2014, 20:15
Expert's post
jlgdr wrote:
Bunuel wrote:
PiyushK wrote:
For second option I tried to solve it with handy trick.

critical points on number line --(+)---0--(-)--1---(+)-- as equation is < 0 trick suggest to pick range between 0-1, this trick mostly worked in all cases even in option 1. But in option 2 it is not working.

You can refer trick on link : inequalities-trick-91482.html#p804990

I am not sure where I am making mistake with this trick.

The squared term, x^2, should be omitted because it's always positive and thus doesn't affect the sign of the left side.

Ahhh now I get it, that's awesome thanks. Still I don't quite know what's wrong with including x^2 in the key points, I know it will give you a different valid range but I would like to understando the logic behind it.


First understand why we have transition points at all - at the transition point, the sign of one factor changes from positive to negative (starting from right to left). That reverses the sign of the entire inequality. Therefore, we plot the number line with the transition points and make that wave to give different signs to adjoining regions.
Detailed explanation of transition points: ... e-factors/

Now what happens when you have x^2? Does x^2 change sign? No, it is ALWAYS positive (or 0). It never becomes negative and hence never reverses the sign of the inequality.
Detailed explanation of even powers: ... s-part-ii/

Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Veritas Prep GMAT Discount CodesKnewton GMAT Discount CodesKaplan GMAT Prep Discount Codes
User avatar
Affiliations: CrackVerbal
Joined: 03 Oct 2013
Posts: 174
Location: India
GMAT 1: 780 Q51 V46
Followers: 21

Kudos [?]: 86 [0], given: 2

Re: Is |x| < 1 [#permalink] New post 02 Feb 2014, 22:19
gmatblues wrote:
Is |x| < 1

(1) x^5 > x^3
(2) x^2 > x^3

Statement I is insufficient:

x = 2 (NO), x = -0.5 (YES)

Statement II is insufficient:

x = 0.5 (NO), x = -3 (YES)

Combining is sufficient:
X has to be a negative fraction as x cannot be a positive number or negative number less than -1.

Hence answer is C

If you find our response valuable, please encourage us with Kudos!

Live online classes by 99th percentile instructors!

Get a FREE profile evaluation from CrackVerbal experts!

Re: Is |x| < 1   [#permalink] 02 Feb 2014, 22:19
    Similar topics Author Replies Last post
Is |x-1| < 1? Revenge2013 0 03 Jul 2013, 13:16
8 Experts publish their posts in the topic Is |x-1| < 1? devinawilliam83 18 12 Feb 2012, 20:49
15 Experts publish their posts in the topic Is |x|<1? mn2010 32 28 Jul 2010, 02:56
7 Experts publish their posts in the topic Is |x|<1 ? msand 10 31 Dec 2009, 07:24
Experts publish their posts in the topic Is |x|<1? mosquitojoyride 6 23 Sep 2009, 16:26
Display posts from previous: Sort by

Is |x| < 1

  Question banks Downloads My Bookmarks Reviews Important topics  

Go to page   Previous    1   2   [ 22 posts ] 

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®.