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

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Senior Manager
Joined: 29 Oct 2013
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Kudos [?]: 344 [0], given: 197

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

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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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Kudos [?]: 391 [0], given: 192

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

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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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Kudos [?]: 1713 [1] , given: 193

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

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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) $$2^x = 2^1 = 2$$

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

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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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14 Sep 2016, 00:38
why can it not be 1.5? are they looking for integers specifically

x can be any number satisfying 0 < x < 2, including fractions. For any x from that range options D is the greatest.
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Re: If 0 < x < 2, which of the following must be greatest?   [#permalink] 14 Sep 2016, 00:38
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