|
Author |
Message |
|
TAGS:
|
|
|
Senior Manager
Joined: 20 Dec 2004
Posts: 268
Followers: 6
Kudos [?]:
43
[0], given: 0
|
Is |x - 1| < 1 ? 1. (x - 1)^2 <= 1 2. x^2 - 1 [#permalink]
 23 Mar 2008, 13:00
Question Stats:
0% (00:00) correct
 0% (00:00) wrong based on 0 sessions
Is |x - 1| < 1 ? 1. (x - 1)^2 <= 1 2. x^2 - 1 > 0
_________________
Stay Hungry, Stay Foolish
|
|
|
|
|
|
|
CEO
Joined: 17 Nov 2007
Posts: 3593
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 230
Kudos [?]:
1298
[0], given: 346
|
E|x - 1| < 1 --> is x (0,2) 1. (x - 1)^2 <= 1 --> x e [0,2]. insufficient 2. x^2 - 1 > 0 --> x e (-∞,1)&(1,+∞). insufficient 1&2 x e (1,2]. insufficient.
_________________
iOS/Android: GMAT ToolKit - The bestselling GMAT prep app | GMAT Club (free) | PrepGame | GRE ToolKit | LSAT ToolKit
PROMO: Are you an exiting GMAT ToolKit (iOS) user? Get GMAT ToolKit 2 (iOS) for free* (read more)
Math: GMAT Math Book ||| General: GMATTimer ||| Chicago Booth: Slide Presentation
The People Who Are Crazy Enough to Think They Can Change the World, Are the Ones Who Do.
|
|
|
|
|
|
Senior Manager
Joined: 20 Dec 2004
Posts: 268
Followers: 6
Kudos [?]:
43
[0], given: 0
|
walker wrote: E
|x - 1| < 1 --> is x (0,2)
1. (x - 1)^2 <= 1 --> x e [0,2]. insufficient
2. x^2 - 1 > 0 --> x e (-∞,1)&(1,+∞). insufficient
1&2 x e (1,2]. insufficient. I think I am loosing it .... I was able to get exactly where you finished but then I argued that using 1&2 we know that x e (1,2]....meaning |x-1| will never be less than 1. And hence we can answer the question stem as a yes or no.....That is |x-1| is actually > 1 So why should it not be C ?
_________________
Stay Hungry, Stay Foolish
|
|
|
|
|
|
Senior Manager
Joined: 24 Feb 2008
Posts: 351
Schools: UCSD ($) , UCLA, USC ($), Stanford
Followers: 67
Kudos [?]:
696
[0], given: 2
|
neelesh wrote: walker wrote: E
|x - 1| < 1 --> is x (0,2)
1. (x - 1)^2 <= 1 --> x e [0,2]. insufficient
2. x^2 - 1 > 0 --> x e (-∞,1)&(1,+∞). insufficient
1&2 x e (1,2]. insufficient. I think I am loosing it .... I was able to get exactly where you finished but then I argued that using 1&2 we know that x e (1,2]....meaning |x-1| will never be less than 1. And hence we can answer the question stem as a yes or no.....That is |x-1| is actually > 1 So why should it not be C ? Combining 1 & 2 we get x e (1,2] but this is still not sufficient since the question is really asking is x e (0,2). Picking 1.5 for instance leads to a "yes", while picking 2 leads to a "no".
_________________
Chinese Democracy is misunderstood...at your nearest BestBuy.
Best AWA guide here: how-to-get-6-0-awa-my-guide-64327.html
|
|
|
|
|
|
CEO
Joined: 17 Nov 2007
Posts: 3593
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 230
Kudos [?]:
1298
[0], given: 346
|
neelesh wrote: So why should it not be C ? Because x=2 and x=1.5 satisfy both conditions, but the answers are "no" and "yes"
_________________
iOS/Android: GMAT ToolKit - The bestselling GMAT prep app | GMAT Club (free) | PrepGame | GRE ToolKit | LSAT ToolKit
PROMO: Are you an exiting GMAT ToolKit (iOS) user? Get GMAT ToolKit 2 (iOS) for free* (read more)
Math: GMAT Math Book ||| General: GMATTimer ||| Chicago Booth: Slide Presentation
The People Who Are Crazy Enough to Think They Can Change the World, Are the Ones Who Do.
|
|
|
|
|
|
CEO
Joined: 17 Nov 2007
Posts: 3593
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 230
Kudos [?]:
1298
[0], given: 346
|
chineseburned, thanks. I did not see your post
_________________
iOS/Android: GMAT ToolKit - The bestselling GMAT prep app | GMAT Club (free) | PrepGame | GRE ToolKit | LSAT ToolKit
PROMO: Are you an exiting GMAT ToolKit (iOS) user? Get GMAT ToolKit 2 (iOS) for free* (read more)
Math: GMAT Math Book ||| General: GMATTimer ||| Chicago Booth: Slide Presentation
The People Who Are Crazy Enough to Think They Can Change the World, Are the Ones Who Do.
|
|
|
|
|
|
Senior Manager
Joined: 20 Dec 2004
Posts: 268
Followers: 6
Kudos [?]:
43
[0], given: 0
|
walker wrote: neelesh wrote: So why should it not be C ? Because x=2 and x=1.5 satisfy both conditions, but the answers are "no" and "yes" Thanks walker and chineseburned.. I think I need to take a break ....what a silly a@# mistake.....  .... 
_________________
Stay Hungry, Stay Foolish
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
close
