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# ordering question

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Intern
Joined: 20 Jun 2008
Posts: 22
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Kudos [?]: 0 [0], given: 0

ordering question [#permalink]  22 Jun 2008, 04:19
If x is positive ,which of the following could be correct ordering of 1/x,2x,and x^2?

x^2 < 1/x < 2x.

Could somebody give me an example for this?
Director
Joined: 12 Apr 2008
Posts: 500
Location: Eastern Europe
Schools: Oxford
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Kudos [?]: 184 [1] , given: 4

Re: ordering question [#permalink]  22 Jun 2008, 11:47
1
KUDOS
Hi!
You may pick x that is slightly less than 1:
0.9, for example.

0.81< 1.11 < 1.8
Intern
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Re: ordering question [#permalink]  23 Jun 2008, 01:09
Thx (+1) greenoak.
I just thought all the number between 0 and 1 will behave similarly so i just took 0.5 and i was mistaken.

greenoak wrote:
Hi!
You may pick x that is slightly less than 1:
0.9, for example.

0.81< 1.11 < 1.8
Director
Joined: 12 Apr 2008
Posts: 500
Location: Eastern Europe
Schools: Oxford
Followers: 12

Kudos [?]: 184 [0], given: 4

Re: ordering question [#permalink]  23 Jun 2008, 03:16
No problem!
I think it might be useful to draw a picture when in doubt, in order to see where the graphs intercept. For this problem, any x such that 1/√2 < x < 1 could be an example.
See the attached picture (sorry for pic. quality – was done in Word).
Attachments

graphs.doc [19.5 KiB]

Intern
Joined: 20 Jun 2008
Posts: 22
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Re: ordering question [#permalink]  23 Jun 2008, 03:45
greenoak,
it is very intelligent of you to attack such a problem by drawing the lines.
you have broaden my vision.
one more thx.

greenoak wrote:
No problem!
I think it might be useful to draw a picture when in doubt, in order to see where the graphs intercept. For this problem, any x such that 1/√2 < x < 1 could be an example.
See the attached picture (sorry for pic. quality – was done in Word).
Re: ordering question   [#permalink] 23 Jun 2008, 03:45
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# ordering question

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