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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