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# m08, #11

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Intern
Joined: 11 Jan 2010
Posts: 39
Followers: 1

Kudos [?]: 53 [0], given: 9

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27 May 2014, 06:09
Is |x-1| < 1?
S1: (x-1)^2 <= 1
S2: x^2 - 1 > 0

Simplifying question:
|x-1| < 1 => 0 < x < 2
So, is 0 < x < 2 ?

Let's evaluate the two statements.
S1: implies -1 <= (x-1) <= 1 => 0 <= x <= 2
x = 0 => question = No
x = 1 => question = Yes
x = 2 => question = No
So, S1 is not sufficient. Eliminate A and D.

S2: implies x < -1 or x > 1
x = -2 => question = No
x = 1.5 => question = Yes
x = 2 => question = No
So, S2 is not sufficient. Eliminate B.

Both, again not sufficient because:
x = 0 => question = No
x = 1 => question = Yes
x = 1.5 => question = Yes
x = 2 => question = No

So, eliminate C and E is the correct answer.
Re: m08, #11   [#permalink] 27 May 2014, 06:09

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# m08, #11

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