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If |x| > 5, is |x - 5| = 5 - x

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If |x| > 5, is |x - 5| = 5 - x  [#permalink]

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New post 07 Aug 2010, 16:57
1
4
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:47) correct 24% (02:01) wrong based on 153 sessions

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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 ???

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Re: If |x| > 5, is |x - 5| = 5 - x  [#permalink]

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New post 07 Aug 2010, 18:22
1
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: If |x| > 5, is |x - 5| = 5 - x  [#permalink]

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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: If |x| > 5, is |x - 5| = 5 - x  [#permalink]

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New post 08 Aug 2010, 09:58
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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: If |x| > 5, is |x - 5| = 5 - x  [#permalink]

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New post 17 Jul 2016, 23:26
ezhilkumarank wrote:
If \(|x| > 5\), is \(|x-5| = 5-x\)

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


This is a YES or NO question.
Solving the original question stimulus will give us a value of x
-5>x>5

(1) \(-x(x^2) > 0\)
Tells us that x is negative ; Meaning Positive values of x are not allowed -5>x>5
Therefore x<-5
Now, no need to solve, because the answer is will be either a definite Yes or a definite no
SUFFICIENT

(2) \(x^5 < 0\)
Only a negative number raised to an odd power is negative
Again tells us that x is negative; Meaning Positive values of x are not allowed -5>x>5
Therefore x<-5
Now no need to solve, because the answer is will be either a definite Yes or a definite no
SUFFICIENT

ANSWER IS D
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Re: If |x| > 5, is |x - 5| = 5 - x  [#permalink]

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New post 06 Feb 2019, 23:20
ezhilkumarank wrote:
If \(|x| > 5\), is \(|x-5| = 5-x\)

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



when the given if statement is solved

only one case will be applicable to both the conditions which is x < -5 and not x > 5(when this is used both the statements wont be true)

Just use this to satisfy both the statements

D
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Re: If |x| > 5, is |x - 5| = 5 - x   [#permalink] 06 Feb 2019, 23:20
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