has a solution set that, when graphed on the number line, is a single line segment of finite lenght?
A) X6 ≥1
B) X5≤ 27
C) X4≥ 16
D) 4≤ x ≤ 9
E) 3 ≤ 2x+6≤8
Source: GMAC practice test - note that I have changed the numbers to adhere to copywright restrictions.
Question: I hesitated between answers D & E because I would have thought that they both allow you to draw a line segment of finite lenght but I guess I'm missing something. I checked all OG inequalities problems in both guides and did not find a similar problem.
Can anyone please help!?
Thanks
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Which of the following inequalities...
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poseidon344
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mals24
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A, B & C all have infinite length
D 2<|x|<5
This option will give you 2 line segments of finite lengths
-2>-x>-5
2<x<5
E 2<3x+4<6
This is the only option which will give you a single line of finite length. Just solve for x.
-2/3<x<2/3.
Hence the line is made of points that lie between -2/3 and 2/3.
Hope this helps.
D 2<|x|<5
This option will give you 2 line segments of finite lengths
-2>-x>-5
2<x<5
E 2<3x+4<6
This is the only option which will give you a single line of finite length. Just solve for x.
-2/3<x<2/3.
Hence the line is made of points that lie between -2/3 and 2/3.
Hope this helps.
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maihuna
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mals24 wrote:A, B & C all have infinite length
D 2<|x|<5
This option will give you 2 line segments of finite lengths
-2>-x>-5
2<[/u]x<5
E 2<3x+4<6
This is the only option which will give you a single line of finite length. Just solve for x.
-2/3<x<2/3.
Hence the line is made of points that lie between -2/3 and 2/3.
Hope this helps.
HiMals,
to so;lve the inequality:
2<= |x| <=5
two steps:
|x| >=2 => x>= 2 or x<= -2
for |x|<=5 -5<x<5
So three lines two with infinite and one wit finite length will result.
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uptowngirl92
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I've absolutly no clue of how to approach this ques.Can anyone please explain each of the answer choices in a detailed and structered for for us who are totally lost on this?Thanks!appreciate the help.
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tohellandback
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PLZ see the attachment.
the graph of any even power of x will be similar to that of x^2
graph for any odd power of x will be similar to the one for x^3
the graph for |x| is as show..
you see only the graph of the straight line can satisfy the conditions given in the question
Hope it helps.
the graph of any even power of x will be similar to that of x^2
graph for any odd power of x will be similar to the one for x^3
the graph for |x| is as show..
you see only the graph of the straight line can satisfy the conditions given in the question
Hope it helps.
- Attachments
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- Doc1.doc
- (27.5 KiB) Downloaded 177 times
The powers of two are bloody impolite!!
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tohellandback
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yes..you can download the GMAT prep software from mba.com once you register on the sitemna123 wrote:Can some one please tell me what is "GMAC Practice Test" Are you talking about 2 official GMAT tests ?
I have not seen that, please helppppppppppp
The powers of two are bloody impolite!!
