If a and b are integers, and |a| > |b|, is a |b| < a : DS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 21 Jan 2017, 14:05

### 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

# If a and b are integers, and |a| > |b|, is a |b| < a

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Manager
Joined: 01 Aug 2008
Posts: 118
Followers: 2

Kudos [?]: 130 [0], given: 2

If a and b are integers, and |a| > |b|, is a |b| < a [#permalink]

### Show Tags

02 Jun 2009, 03:48
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If a and b are integers, and |a| > |b|, is a · |b| < a – b?

(1) a < 0

(2) ab >= 0

E

Need strategy/Approach to solve Inequalities. Pls Help
_________________

==============================================
Do not answer without sharing the reasoning behind ur choice
-----------------------------------------------------------
Working on my weakness : GMAT Verbal
------------------------------------------------------------
Why, What, How, When, Where, Who
==============================================

Manager
Joined: 08 Feb 2009
Posts: 146
Schools: Anderson
Followers: 3

Kudos [?]: 49 [0], given: 3

Re: problem using absolute values [#permalink]

### Show Tags

02 Jun 2009, 04:27
(1)
If a = -2, b = -1, then the given inequality would be (-2). (1) < (-2+1). TRUE.
If a = -2, b = 0, then the given inequality would be (-2). (0) < (-2-0). FALSE.

INSUFFICIENT.

(2)
0 $$\leq$$ ab

If a = 2, b = 1, then the given inequality would be (2). (1) < (2-1). FALSE.
If a = -2, b = -1, then the given inequality would be (-2). (1) < (-2+1). TRUE.

INSUFFICIENT.

Combining,
a < 0 &&& 0 $$\leq$$ ab $$\Rightarrow$$ b $$\leq$$ 0

If a = -2, b = -1, then the given inequality would be (-2). (1) < (-2+1). TRUE.
If a = -2, b = 0, then the given inequality would be (-2). (0) < (-2-0). FALSE.

INSUFFICIENT.
Senior Manager
Joined: 15 Jan 2008
Posts: 292
Followers: 2

Kudos [?]: 39 [0], given: 3

Re: problem using absolute values [#permalink]

### Show Tags

03 Jun 2009, 23:43
One more for E..

when the value of b is 0, the equation doesnt hold true..

if the second statement hadnt had the equality, the answer may have been B.
Re: problem using absolute values   [#permalink] 03 Jun 2009, 23:43
Display posts from previous: Sort by

# If a and b are integers, and |a| > |b|, is a |b| < a

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 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®.