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# Which of the following inequalities has a solution set that

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Intern
Joined: 31 May 2006
Posts: 44
Which of the following inequalities has a solution set that [#permalink]

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23 Jul 2006, 17:59
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Which of the following inequalities has a solution set that when graphed on a number line is a single line segment of finite length?

I'm not sure why this is the case, I chose 2<=[x]<=5

[x] stands for absolute value.
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Joined: 24 Sep 2005
Posts: 1885

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24 Jul 2006, 03:00
shehreenquayyum wrote:
Which of the following inequalities has a solution set that when graphed on a number line is a single line segment of finite length?

I'm not sure why this is the case, I chose 2<=[x]<=5
[x] stands for absolute value.

the bold part: you should first of all break the | | :
|x|= x for x>=0 and |x|= -x for x < 0
+ x>= 0, we have the inequality is: 2<=x<=5 and x>=0 --> 2<=x<=5
+x< 0, we have 2<=-x<=5 and x< 0 --> -5<=x<=-2
---> the inequality has two ranges of values of x ..but the question asks for one finite range of x only --> this inequality can't be the answer choice.
Re: GMAT prep   [#permalink] 24 Jul 2006, 03:00
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