Is |a| > |b|? (1) b < -a (2) a < 0

Oldest

Best Reply

Author

Message

TAGS:

Director

Joined: 01 May 2007

Posts: 809

Followers: 1

Kudos [?]: 37 [0], given: 0

Is |a| > |b|? (1) b < -a (2) a < 0 [#permalink]

28 Apr 2008, 08:38

Is |a| > |b|?

(1) b < -a

(2) a < 0

Director

Joined: 01 May 2007

Posts: 809

Followers: 1

Kudos [?]: 37 [0], given: 0

Re: Manahattan GMAT Inequality [#permalink]

28 Apr 2008, 09:17

Incorrect. Can you show how to solve this algebraically?

SVP

Joined: 24 Aug 2006

Posts: 2140

Followers: 2

Kudos [?]: 73 [0], given: 0

Re: Manahattan GMAT Inequality [#permalink]

28 Apr 2008, 09:21

jimmyjamesdonkey wrote:

Is |a| > |b|?

(1) b < -a

(2) a < 0

I like E

b = 0 and a = -1 yields true

b= -4 and a = -3 yields false

Director

Joined: 01 May 2007

Posts: 809

Followers: 1

Kudos [?]: 37 [0], given: 0

Re: Manahattan GMAT Inequality [#permalink]

28 Apr 2008, 09:28

OA is E. Manhattan solved by picking numbers...but I'd like to solve this by algebra is possible.

Manager

Joined: 26 Apr 2008

Posts: 50

Followers: 1

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

Re: Manahattan GMAT Inequality [#permalink]

28 Apr 2008, 10:51

I am sorry. I read the choices wrong in hurry. Ans will be C when a>0
Lemme give my solution for E without using numbers.

I use number line.

|b|<|a| when b lies between -a and a

<-----------b------------>
-------------------------------|------------|------------|---------------
-a 0 a

Combining the 2 statements gives me

to infinity<--------------------------------b------------>
-------------------------------|------------|------------|---------------
a 0 -a

Hope I am clear enough.

Now, if a had been greater than 0, the situation would have been

to infinity<---------b--------->
-------------------------------|------------|------------|---------------
-a 0 a
Which would have made |b|>|a|

Manager

Joined: 26 Apr 2008

Posts: 50

Followers: 1

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

Re: Manahattan GMAT Inequality [#permalink]

28 Apr 2008, 10:59

Formatting got screwed up. I created a jpg file for the same. Have a look

Attachments

untitled.JPG [ 58.2 KiB | Viewed 265 times ]

Director

Joined: 01 May 2007

Posts: 809

Followers: 1

Kudos [?]: 37 [0], given: 0

Re: Manahattan GMAT Inequality [#permalink]

28 Apr 2008, 11:23

thanks itsme291...but is there anyway to translate those number lines to algebra?

Manager

Joined: 26 Apr 2008

Posts: 50

Followers: 1

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

Re: Manahattan GMAT Inequality [#permalink]

28 Apr 2008, 11:39

The algebraic equations are already in front of you. Number line is used to make sense out of them.

I just created the equations given in the question to number line. Converting from number-line to algebraic form will give the same equations

Re: Manahattan GMAT Inequality [#permalink] 28 Apr 2008, 11:39

		Similar topics	Author	Replies	Last post
Similar Topics:		Is \|a\| > \|b\|? (1) b < -a (2) a < 0	edgetech	4	27 Dec 2006, 10:39
		Is \|a\| > \|b\|? (1) b < -a (2) a < 0	faifai0714	3	23 Mar 2007, 22:18
		Is \|a\| > \|b\|? (1) b < -a (2) a < 0	bmwhype2	1	12 Feb 2008, 08:03
	1	If [(a-b)/c] < 0, is a > b ? (1) c < 0 (2) a+b < 0	bfman	3	31 May 2010, 10:59
	2	is (a-b)/c >0? 1. a>b, b<c 2. a<b, b<c	Creeper300	2	07 Nov 2010, 13:44

Is |a| > |b|? (1) b < -a (2) a < 0

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

Is |a| > |b|? (1) b < -a (2) a < 0

Is |a| > |b|? (1) b < -a (2) a < 0

Main navigation

GMAT Resources

Partners

MBA Resources