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# What is the number of integers x such that 4<x2-4x+4<16?

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Math Revolution GMAT Instructor
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What is the number of integers x such that 4<x2-4x+4<16? [#permalink]

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21 Mar 2017, 01:47
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Question Stats:

48% (01:33) correct 52% (01:05) wrong based on 52 sessions

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What is the number of integers x such that $$4<x^2-4x+4<16$$?

A. 1
B. 2
C. 3
D. 4
E. 5
[Reveal] Spoiler: OA

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4908
GPA: 3.82
Re: What is the number of integers x such that 4<x2-4x+4<16? [#permalink]

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23 Mar 2017, 00:22
==> Since $$x^2-4x+4=(x-2)^2$$, from $$4<(x-2)^2<16$$, you get -4<x-2<-2 or 2<x-2<4, and if you simplify it, from -2<x<0 or 4<x<6, you get x=integer=-1,5, and thus 2.

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Re: What is the number of integers x such that 4<x2-4x+4<16?   [#permalink] 23 Mar 2017, 00:22
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