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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

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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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Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly. FINAL GOODBYE :- 17th SEPTEMBER 2016.

gmatclubot

Re: If |x| > 5, is |x - 5| = 5 - x
[#permalink]
17 Jul 2016, 23:26

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