Data Sufficiency (DS) | Re: Is x^5 > x^4?

x^5 > x^4

x^5 - x^4 > 0

x^4 ( x - 1) > 0..........x^4 is always positive........So the question boils down to:

Is x > 1?? (Note: you can divide by x^4 because it is positive and hence no sign change)

(1) x^3 > −x

x^3 + x > 0

x ( x^2 + 1) > 0...........( x^2 + 1) is always positive.......then x cant take any positive number

Let x = 1/2........... Answer is No

Let x =2 ...............Answer is Yes

Insufficient


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