Which of the following represents the complete range of \(x\) over which \(x^3-4x^5<0?\)

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A

B

C

D

E

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Which of the following represents the complete range of \(x\) over which \(x^3-4x^5<0?\)

A. \(0<|x|<\dfrac12\)

B. \(|x|>\dfrac12\)

C. \(-\dfrac12<x<0\) or \(\dfrac12<x\)

D. \(x<-\dfrac12\) or \(0<x<\dfrac12\)

E. \(x<-\dfrac12\) or \(x>0\)

Answer: C

Source: Manhattan GMAT
Source: — Problem Solving |