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If 0 < x < 2, which of the following must be greatest?

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If 0 < x < 2, which of the following must be greatest? [#permalink]

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New post 08 Jun 2014, 23:48
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If 0 < x < 2, which of the following must be greatest?

(A) x
(B) x^2
(C) 2x
(D) x + 2
(E) 2^x
[Reveal] Spoiler: OA

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Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

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New post 08 Jun 2014, 23:52
A graphical solution is the best in this case.


At \(x = 0\) , try to compare values of all functions, only two functions have non zero values \(x+2 = 2, 2^x = 1\).
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Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

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New post 24 Jun 2014, 03:06
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For x = 1, try the options given

(A) x = 1
(B) \(x^2 = 1^2 = 1\)
(C) 2x = 2
(D) x + 2 = 1 + 2 = 3
(E) \(2^x = 2^1 = 2\)

Answer = D
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Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

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New post 13 Sep 2016, 20:19
why can it not be 1.5? are they looking for integers specifically
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Re: If 0 < x < 2, which of the following must be greatest? [#permalink]

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New post 14 Sep 2016, 00:38
Re: If 0 < x < 2, which of the following must be greatest?   [#permalink] 14 Sep 2016, 00:38
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If 0 < x < 2, which of the following must be greatest?

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