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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
Joined: 16 Aug 2015
Posts: 6619
GMAT 1: 760 Q51 V42
GPA: 3.82
What is the number of integers x such that 4<x2-4x+4<16?  [#permalink]

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21 Mar 2017, 01:47
00:00

Difficulty:

55% (hard)

Question Stats:

54% (01:48) correct 46% (01:28) wrong based on 65 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

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MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
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"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6619 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: What is the number of integers x such that 4<x2-4x+4<16? [#permalink] ### Show Tags 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. Therefore, the answer is B. Answer: B _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
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Re: What is the number of integers x such that 4<x2-4x+4<16? &nbs [#permalink] 23 Mar 2017, 00:22
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