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# 28. (SC) Which of the following must be greater than x? I.

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28. (SC) Which of the following must be greater than x? I. [#permalink]

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17 Mar 2011, 13:44
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28. (SC) Which of the following must be greater than x?
I. 2x
II. x^2
III. x^2 + 1
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only
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Re: 28. (SC) Which of the following must be greater than x? I. [#permalink]

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17 Mar 2011, 14:00
banksy wrote:
28. (SC) Which of the following must be greater than x?
I. 2x
II. x^2
III. x^2 + 1
(A) I only
(B) II only
(C) III only
(D) I and II only
(E) II and III only

I. 2x will not be greater than x if x = -ve
II. x^2 will not be greater than x if x= fraction <1
III. x^2 + 1 Will always be greater than x whether x is +ve, -ve or fraction.

ans C.
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Re: 28. (SC) Which of the following must be greater than x? I. [#permalink]

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17 Mar 2011, 14:01
C

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Re: 28. (SC) Which of the following must be greater than x? I. [#permalink]

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19 Mar 2011, 01:29
C is the ans. dreambeliever gives the right explanation.
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Re: 28. (SC) Which of the following must be greater than x? I. [#permalink]

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20 Mar 2011, 22:44
C is the only case where this remains true for x as 0, +ve, -ve or fraction
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Re: 28. (SC) Which of the following must be greater than x? I. [#permalink]

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21 Mar 2011, 08:02
x^2 +1 will always be greater than x ..So ans is C
Re: 28. (SC) Which of the following must be greater than x? I.   [#permalink] 21 Mar 2011, 08:02
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# 28. (SC) Which of the following must be greater than x? I.

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