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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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New post 17 Mar 2011, 14:44
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A
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C
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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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New post 17 Mar 2011, 15:00
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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New post 17 Mar 2011, 15:01
C

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

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New post 19 Mar 2011, 02:29
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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New post 20 Mar 2011, 23:44
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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New post 21 Mar 2011, 09:02
x^2 +1 will always be greater than x ..So ans is C

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Re: 28. (SC) Which of the following must be greater than x? I.   [#permalink] 21 Mar 2011, 09:02
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28. (SC) Which of the following must be greater than x? I.

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