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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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