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Inequality Question

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Inequality Question [#permalink] New post 03 Feb 2009, 13:14
Which of the following inequalities has a solution set that, when graphed on a number line, is a single line segment of finite length?

A) x^4 >= 1
B) x^3 <= 27
C) x^2 >= 16
D) 2 <= abs(x) <= 5
E) 2 <= 3x +4 <= 6
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Re: Inequality Question [#permalink] New post 03 Feb 2009, 20:22
bmiller0731 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?

A) x^4 >= 1
B) x^3 <= 27
C) x^2 >= 16
D) 2 <= abs(x) <= 5
E) 2 <= 3x +4 <= 6


should be E

All other options have multiple solutions which are discrete


2 <= 3x +4 <= 6

-->
-2/3<=x<=2/3

join points..

it is straight line and finite length starting -2/3 and ending at 2/3
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Re: Inequality Question [#permalink] New post 04 Feb 2009, 06:32
Why isn't x^3<=27 the answer? Shouldn't the answer for b equal to x <=3?
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Re: Inequality Question [#permalink] New post 04 Feb 2009, 07:17
wcgmatclub wrote:
Why isn't x^3<=27 the answer? Shouldn't the answer for b equal to x <=3?


question says segment of finite length

x<=3.. means x can be -infinity..
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Re: Inequality Question [#permalink] New post 04 Feb 2009, 08:25
x2suresh wrote:
bmiller0731 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?

A) x^4 >= 1
B) x^3 <= 27
C) x^2 >= 16
D) 2 <= abs(x) <= 5
E) 2 <= 3x +4 <= 6


should be E

All other options have multiple solutions which are discrete


2 <= 3x +4 <= 6

-->
-2/3<=x<=2/3

join points..

it is straight line and finite length starting -2/3 and ending at 2/3


Agree with above.

Edited...
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Re: Inequality Question [#permalink] New post 04 Feb 2009, 08:31
GMAT TIGER wrote:
x2suresh wrote:
bmiller0731 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?

A) x^4 >= 1
B) x^3 <= 27
C) x^2 >= 16
D) 2 <= abs(x) <= 5
E) 2 <= 3x +4 <= 6


should be E

All other options have multiple solutions which are discrete


2 <= 3x +4 <= 6

-->
-2/3<=x<=2/3

join points..

it is straight line and finite length starting -2/3 and ending at 2/3


Agree with above.
Small typo: it is straight line and finite length starting -2/3 and ending at 3/2.


2 <= 3x +4 <= 6
--> -2<=3x<=2
--> -2/3<=x<=2/3
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Re: Inequality Question [#permalink] New post 04 Feb 2009, 08:41
x2suresh wrote:
2 <= 3x +4 <= 6
--> -2<=3x<=2
--> -2/3<=x<=2/3


Agree with you and I editerd my post too. I considered only 4. Sorry about that.

You rock, x2suresh.
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Re: Inequality Question   [#permalink] 04 Feb 2009, 08:41
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