What is the value of x? : DS Archive
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# What is the value of x?

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Director
Joined: 24 Oct 2005
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Location: London
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What is the value of x? [#permalink]

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08 May 2006, 06:38
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Difficulty:

(N/A)

Question Stats:

100% (01:51) correct 0% (00:00) wrong based on 3 sessions

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What is the value of x?

1) x^4 = |x|
2) x^2 > x

Director
Joined: 13 Nov 2003
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Location: BULGARIA
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08 May 2006, 07:16
Hallo remgeo,
from A X^4=IXI possible solutions 1,-1 and 0 (SubstituteIXI=+/-X)
NOT SUFF
From B X^2>X or X^2-X>0 or X*(X-1)>0
Either X>0 and X>1 which means X>1
OR X<0 and X<1 which means X<0
For B X(-inf;0) & (1;+inf)-NOT SUFF
FROM both x=-1 so C
VP
Joined: 29 Apr 2003
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08 May 2006, 10:07
Agreed C

1: -1, 0, 1
2: Almost any number not in the range 0<=x<=1

1+2: gives us the intersection that is -1

Hence, C!
08 May 2006, 10:07
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