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# Is |x-1|< 1 ? (1) (x-1)^2 <= 1 (2) x^2 - 1 > 0

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Manager
Joined: 01 Apr 2006
Posts: 177
Is |x-1|< 1 ? (1) (x-1)^2 <= 1 (2) x^2 - 1 > 0 [#permalink]

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11 Sep 2008, 03:58
00:00

Difficulty:

(N/A)

Question Stats:

100% (03:57) correct 0% (00:00) wrong based on 5 sessions

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Is |x-1| 0

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SVP
Joined: 29 Aug 2007
Posts: 2427

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11 Sep 2008, 08:41
jjhko wrote:
Is |x-1|< 1 ?

(1) (x-1)^2 <= 1
(2) x^2 - 1 > 0

1: -2 < x < 2. nsf
2: x < -1 or x > 1. x cannot be 1. nsf.

togather also insuff...

so //E//
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11 Sep 2008, 09:15
Is |x-1|< 1 ?

(1) (x-1)^2 <= 1

(2) x^2 - 1 > 0

1) x=1.5, but then |x-1|<1; if x=2 the |x-1|=1 so Insuff

2) x^2 >1
which means x<-1 or x>1

if x<0 then |x-1|>1 if x>1 could be 1.5 then |x-1|<1 so insuff

1 and 2 together; if x>1 say x=1.5 then |x-1|<1 if x=2 then |x-1|>1

E it is
VP
Joined: 17 Jun 2008
Posts: 1288

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11 Sep 2008, 10:26
fresinha12 wrote:
Is |x-1|< 1 ?

(1) (x-1)^2 <= 1

(2) x^2 - 1 > 0

1) x=1.5, but then |x-1|<1; if x=2 the |x-1|=1 so Insuff

2) x^2 >1
which means x<-1 or x>1

if x<0 then |x-1|>1 if x>1 could be 1.5 then |x-1|<1 so insuff

1 and 2 together; if x>1 say x=1.5 then |x-1|<1 if x=2 then |x-1|>1

E it is

correct,i overlooked <=1
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cheers
Its Now Or Never

VP
Joined: 17 Jun 2008
Posts: 1479

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11 Sep 2008, 10:27
GMAT TIGER wrote:
jjhko wrote:
Is |x-1|< 1 ?

(1) (x-1)^2 <= 1
(2) x^2 - 1 > 0

1: -2 < x < 2. nsf
2: x < -1 or x > 1. x cannot be 1. nsf.

togather also insuff...

so //E//

Did you mean 0 <=x <=2 and hence nsf?
SVP
Joined: 29 Aug 2007
Posts: 2427

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Updated on: 12 Sep 2008, 09:58
scthakur wrote:
GMAT TIGER wrote:
jjhko wrote:
Is |x-1|< 1 ?

(1) (x-1)^2 <= 1
(2) x^2 - 1 > 0

1: -2 < x < 2. nsf
2: x < -1 or x > 1. x cannot be 1. nsf.

togather also insuff...

so //E//

Did you mean 0 <=x <=2 and hence nsf?

nope.

actually 1 is 1: 0 =< x =< 2. nsf

x can be as low as -2 and as high as 2. any value for x that ranges between these two ends satisfies the inequality: (x-1)^2 <= 1.
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Originally posted by GMAT TIGER on 11 Sep 2008, 20:53.
Last edited by GMAT TIGER on 12 Sep 2008, 09:58, edited 1 time in total.
VP
Joined: 17 Jun 2008
Posts: 1479

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12 Sep 2008, 05:30
GMAT TIGER wrote:
nope.

actually 1 is 1: -2 =< x =< 2. nsf

x can be as low as -2 and as high as 2. any value for x that ranges between these two ends satisfies the inequality: (x-1)^2 <= 1.

That is not true....for x = -2.....left side will be 9.....here x cannot be negative......
SVP
Joined: 29 Aug 2007
Posts: 2427

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12 Sep 2008, 09:57
scthakur wrote:
GMAT TIGER wrote:
nope.

actually 1 is 1: -2 =< x =< 2. nsf

x can be as low as -2 and as high as 2. any value for x that ranges between these two ends satisfies the inequality: (x-1)^2 <= 1.

That is not true....for x = -2.....left side will be 9.....here x cannot be negative......

you r right. thanks for the note.

thats actually 0 =< x =< 2.

why it is so easy to overlook so tiny issues that really matters.

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Re: Inequality DS   [#permalink] 12 Sep 2008, 09:57
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# Is |x-1|< 1 ? (1) (x-1)^2 <= 1 (2) x^2 - 1 > 0

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