"If -1 < x < 0, which of the following must be true?
I. x3 < x2 II. x5 < 1 - x III. x4 < x2
I only I and II only II and III only I and III only I, II and III"
I. x^3 < x^2 is true, as x^2 will be +ve and x^3 -ve
II. x^5 < 1 - x
let x = -1/2
x^5 = - 1/32
1 - x = 1 -(-1/2) = 1.5, which is more then -1/32 so II is true
III) x^4 < x^2 is also true
let x = -1/2
1/16 < 1/4
so I'll go with E
must be true
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Source: Beat The GMAT — Problem Solving |
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