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# If (X - 1) ^2 <= 1 Is |X-1| < 1

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Manager
Joined: 03 Jul 2006
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If (X - 1) ^2 <= 1 Is |X-1| < 1 [#permalink]  14 Jul 2006, 07:19
If (X - 1) ^2 <= 1

Is |X-1| < 1 ?
VP
Joined: 25 Nov 2004
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Re: modules-inequalities [#permalink]  14 Jul 2006, 08:25
rkatl wrote:
If (X - 1) ^2 <= 1
Is |X-1| < 1 ?

could be or could not be.

(X - 1)^2 <= 1
o<= x=>2

if x = 2, |X-1| = 1.
if x = 0.5, |X-1| < 1.
Director
Joined: 26 Sep 2005
Posts: 577
Location: Munich,Germany
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agree. its E in the GMAT form.
CEO
Joined: 20 Nov 2005
Posts: 2910
Schools: Completed at SAID BUSINESS SCHOOL, OXFORD - Class of 2008
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Re: modules-inequalities [#permalink]  14 Jul 2006, 10:44
rkatl wrote:
If (X - 1) ^2 <= 1

Is |X-1| < 1 ?

(X - 1) ^2 <= 1 gives you -1<=(X-1)<=1 i.e 0<=X<=2
With the above values

|X-1| <= 1 is TRUE and
|X-1| < 1 may be TRUE or FALSE

Watch for the equal sign.
_________________

SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

Re: modules-inequalities   [#permalink] 14 Jul 2006, 10:44
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