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must be true

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by LalaB » Sun Oct 23, 2011 9:48 am
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
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Source: — Problem Solving |

by MBA.Aspirant » Sun Oct 23, 2011 10:44 am
"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
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by LalaB » Sun Oct 23, 2011 10:57 am
oh, what a shame, I did not thought about -1/2 ((

thanks :)
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