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Is V(x-5)^2 = 5-x ? 1) XIXI >0 2) 5-X>0 IMO it is B ..

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Intern
Joined: 27 Mar 2009
Posts: 12
Is V(x-5)^2 = 5-x ? 1) XIXI >0 2) 5-X>0 IMO it is B .. [#permalink]

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07 Apr 2009, 05:43
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Is V(x-5)^2 = 5-x ?
1) –XIXI >0
2) 5-X>0

IMO it is B….. but OA says D ..why…pl explain.. !!

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VP
Joined: 08 Apr 2009
Posts: 1214
Concentration: General Management, Strategy
Schools: Duke (Fuqua) - Class of 2012

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08 Apr 2009, 00:32
In order for sqrt[(x-5)^2]=5-x 5-x must be positive
(1) if -x|x|>0 that means x is negative, thus 5 - (neg) is always positive and the equation holds.
(2) if 5-x > 0 , the equation will hold
Intern
Joined: 27 Mar 2009
Posts: 12

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08 Apr 2009, 08:49
Is V(x-5)^2 = 5-x ?
1) –X IXI >0
2) 5-X>0

i solve it as:
stem says:V(x-5)^2 = 5-x ; means I (x-5) I = 5- x
so, if x<5 then LHS: (5-x) RHS = 5-x ---yes
x>5, LHS: x-5 RHS: 5-x -- NO.

from 1) ==> x< 0 ..... so yes
from 2) ==> x<5.... so yes..

so it is D...OA IS correct.
thanks.
Current Student
Joined: 13 Jan 2009
Posts: 351
Location: India

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13 Apr 2009, 20:28
Agree OA is correct as X<0 and both are suff to answer.
Manager
Joined: 22 Feb 2009
Posts: 134
Schools: Kellogg (R1 Dinged),Cornell (R2), Emory(Interview Scheduled), IESE (R1 Interviewed), ISB (Interviewed), LBS (R2), Vanderbilt (R3 Interviewed)

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20 Apr 2009, 12:41
1
KUDOS
grt explanations. Can some one explain how to solve inequation such as lx+2l > 5 and lx+2l > lx-3l?

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Re: D prep 2   [#permalink] 20 Apr 2009, 12:41
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