[ 6 posts ]

 Print view Previous topic | Next topic

#### math

Author Message
 Post subject: math  Posted: Thu Sep 06, 2007 10:15 pm
 Question Bank, Inequalities, # 10 If r is not equal to 0, is r^2/|r|<1? (1) r > -1 (2) r < 1 (1) AND (2) SUFFICIENT: Together, the statements tell us that r is between -1 and 1. The square of a proper fraction (positive or negative) will always be smaller than the absolute value of that proper fraction. The correct answer is C. why in this question is not possible the following when c is the answer if r=1/2 then r^2=1/2^2=1/4 then lrl = to -1/2 (since from an absolute value we have positive and negative ) then result = 1/4>-1/2 . I understand when r=-1/2 then r^2=-1/2^2 = 1/4 and lrl=1/2 then this gives us 1/4<1/2

 Post subject:   Posted: Sun Sep 09, 2007 4:57 pm
 ManhattanGMAT Staff

Posts: 6917
Location: San Francisco
 Quote:why in this question is not possible the following when c is the answer if r=1/2 then r^2=1/2^2=1/4 then lrl = to -1/2 (since from an absolute value we have positive and negative ) then result = 1/4>-1/2 . I understand when r=-1/2 then r^2=-1/2^2 = 1/4 and lrl=1/2 then this gives us 1/4<1/2 A variable inside an absolute value does mean that the variable could be positive or negative, but you start your question by saying "if r = 1/2" - so you've just set that variable to be positive 1/2, not negative 1/2. You have to keep using that value for r throughout the problem once you set it. _________________Stacey KoprinceInstructorDirector of Online CommunityManhattanGMAT

 Post subject: Re: math  Posted: Thu May 26, 2011 7:47 am
 Students

Posts: 9
 Hi,I am having a hard time understanding how fromr^2 < |r|we arrived at the conclusion that ---------------> -1

 Post subject: Re: math  Posted: Sat May 28, 2011 3:19 pm
 ManhattanGMAT Staff

Posts: 2412
 raheel11 wrote:Hi,I am having a hard time understanding how fromr^2 < |r|we arrived at the conclusion that ---------------> -1

 Post subject: Re: math  Posted: Sun Jun 19, 2011 10:00 am
 Students

Posts: 9
 jnelson0612 wrote:raheel11 wrote:Hi,I am having a hard time understanding how fromr^2 < |r|we arrived at the conclusion that ---------------> -1

 Post subject: Re: math  Posted: Sun Jun 19, 2011 11:12 pm
 ManhattanGMAT Staff

Posts: 2412
 Good to hear! :-) _________________Jamie NelsonManhattanGMAT Instructor

Display posts from previous:  Sort by

[ 6 posts ]

#### Who is online

 Users browsing this forum: No registered users and 0 guests

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forumYou cannot post attachments in this forum

Search for:
 Jump to:  Select a forum ------------------ Ask An Instructor    General GMAT Strategy Questions    GMAT Math       General Math Questions       GMAT Prep Math       Manhattan GMAT CAT Math       Manhattan GMAT Non-CAT Math       Official Guide Math    GMAT Verbal       General Verbal Questions       GMAT Prep Verbal       Manhattan GMAT CAT Verbal       Manhattan GMAT Non-CAT Verbal       Official Guide Verbal    GMAT Integrated Reasoning (IR)       GMAT Prep IR       Manhattan GMAT CAT IR       Manhattan GMAT Non-CAT IR    GMAT AWA Essays Manhattan GMAT    Ask Student Services    Study Groups    GMAT Test Day    Test Centers    Instructor Feedback    Course Feedback B-School    Ask an mbaMission Admissions Consultant    B-School Essays    Business Schools    Professional Networking