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Director
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If a and b are integers, and |a| > |b|, is a |b| < a [#permalink]
 29 Jun 2008, 22:09
If a and b are integers, and |a| > |b|, is a · |b| < a – b?
(1) a < 0
(2) ab >= 0
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Manager
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Re: If a and b are integers, and |a| > |b|, is a · |b| < a – b? [#permalink]
29 Jun 2008, 22:44
D for me. |a| > |b| is possible when a>b (3,2) -a>-b (-3,-2) -a>b (-3,2) 1 says a<0. we have two possiblities. (-3,-2) for this a-|b|=-5 and (a-b)=-1 Inequality does not hold For (-3,2) a-|b| = -5 and (a-b)= -5 The inequality does not hold, SUFF Option 2 says ab>0 Two possibilities a>0, b>0 (3,2) OR a<0, b<0 (-3,-2) Inequality does not hold Suff Hence D Please post the OA 
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CEO
Joined: 17 Nov 2007
Posts: 3594
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
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Re: If a and b are integers, and |a| > |b|, is a · |b| < a – b? [#permalink]
29 Jun 2008, 23:24
E a=-2, b=-1 --> true (-2<-1) a=-100, b=-0.1 --> false (-10<-99.9)
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Director
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Re: If a and b are integers, and |a| > |b|, is a · |b| < a – b? [#permalink]
29 Jun 2008, 23:30
Sorry zeenie, the OA is E. The OE is attached:
Attachments
Abominable-ABs.jpg [ 222.93 KiB | Viewed 418 times ]
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CEO
Joined: 17 Nov 2007
Posts: 3594
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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Re: If a and b are integers, and |a| > |b|, is a · |b| < a – b? [#permalink]
29 Jun 2008, 23:45
 a|b| < a-b --> a(|b|-1) < -b from both statement: a and b are negative. if |b|>1 ---> negative * positive < small positive --> true if |b|<1 ---> negative * negative < small positive --> positive < positive --> we can choose a huge negative value of a in order to get larger positive number of a(|b|-1) than -b. This is a key to construct our examples.
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Manager
Joined: 28 May 2008
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Re: If a and b are integers, and |a| > |b|, is a · |b| < a – b? [#permalink]
30 Jun 2008, 01:26
oops !!! Read the question wrong !!
I read it as
a-|b| < a – b?
apology !!
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Current Student
Joined: 28 Dec 2004
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Re: If a and b are integers, and |a| > |b|, is a · |b| < a – b? [#permalink]
30 Jun 2008, 08:45
gmatnub wrote: If a and b are integers, and |a| > |b|, is a · |b| < a – b?
(1) a < 0
(2) ab >= 0 i get E.. pick a=1 or -1 b=10, -10 1*10<1-10 NO -1*10 < -1-10 NO -1*10<-1+10 Yes -1*10<-1-10 NO.. ab>=0 ok so pick b=0 -1*0>-1-0 No and the above example.. E
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Re: If a and b are integers, and |a| > |b|, is a · |b| < a – b?
[#permalink]
30 Jun 2008, 08:45
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