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If |x| > 5 , is |x-5| = 5-x (1) -x(x^2) > 0

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If |x| > 5 , is |x-5| = 5-x (1) -x(x^2) > 0 [#permalink] New post 07 Aug 2010, 16:57
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

67% (04:20) correct 33% (00:00) wrong based on 3 sessions
If |x| > 5, is |x-5| = 5-x

(1) -x(x^2) > 0
(2) x^5 < 0

I solved this problem and ended up with a different answer. I believe the correct answer should be E.

Any thoughts ???
[Reveal] Spoiler: OA

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Re: Inequalities question. [#permalink] New post 07 Aug 2010, 17:31
ezhilkumarank wrote:
If |x| > 5, is |x-5| = 5-x

(1) -x(x^2) > 0
(2) x^5 < 0

I solved this problem and ended up with a different answer. I believe the correct answer should be E.

Any thoughts ???


Why do you think it should be E?
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Re: Inequalities question. [#permalink] New post 07 Aug 2010, 18:22
I think it is D. The question is basically if x < 0 i.e x is negative. Either A or B tells us x is negative.

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Re: Inequalities question. [#permalink] New post 07 Aug 2010, 22:55
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ezhilkumarank wrote:
If |x| > 5, is |x-5| = 5-x

(1) -x(x^2) > 0
(2) x^5 < 0

I solved this problem and ended up with a different answer. I believe the correct answer should be E.

Any thoughts ???


For |x-5| = 5-x, it is required that x-5<0 >>> x < 5

From 1 : x^2 is always positive, so -x needs to be positive , so that -x(x^2) > 0. Therefore x is a negative number, Also from the question |x| > 5, So x < - 5. SUFFICIENT

From 2 : x^5 is negative, so x needs to be negative, Also from the question |x| > 5, So x < -5. SUFFICIENT

it's D
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Re: Inequalities question. [#permalink] New post 08 Aug 2010, 00:02
Feel the same: D.
Both 1) and 2) tell x<0.
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Re: Inequalities question. [#permalink] New post 08 Aug 2010, 09:58
Quote:
ezhilkumarank wrote:
If |x| > 5, is |x-5| = 5-x

(1) -x(x^2) > 0
(2) x^5 < 0

I solved this problem and ended up with a different answer. I believe the correct answer should be E.

Any thoughts ???


Why do you think it should be E?


My bad. I misinterpreted the question.

From the question, |x|>5, I interpreted that x should be strictly less than -5 to satisfy the condition -- Is |x-5| = 5 - x.

But the two answer options note that x is negative but not strictly less than -5 hence I thought option E is the correct.
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Re: Inequalities question. [#permalink] New post 31 Oct 2010, 20:28
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+1 D 8-)
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Re: Inequalities question.   [#permalink] 31 Oct 2010, 20:28
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