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Inequalities - General Rule (multiplying two inequalities)

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Manager
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Inequalities - General Rule (multiplying two inequalities) [#permalink] New post 24 Jul 2010, 00:07
Hi,

Is there any general rule for multiplication or division of two inequalities?

If
a<x<b and c<y<d
then
a+c<x+y<b+d
a-d<x-y<b-c

Now is there any rule to fine xy or x/y?

Thank you in advance.

regards,
Jack
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Re: Inequalities - General Rule (multiplying two inequalities) [#permalink] New post 26 Jul 2010, 20:24
Interestingly enough, no one is curious about this :(
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Re: Inequalities - General Rule (multiplying two inequalities) [#permalink] New post 27 Jul 2010, 23:58
My proposals is as follows:
1.
0<a<x<b and 0<c<y<d
then ac<xy<bd and a/d<x/y<b/c
2.
a<x<b<0 and c<y<d<0
then ac>xy>bd and a/d>x/y>b/c

anyway, more information is needed
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Re: Inequalities - General Rule (multiplying two inequalities) [#permalink] New post 03 Aug 2010, 04:47
Help is appreciated :D
Re: Inequalities - General Rule (multiplying two inequalities)   [#permalink] 03 Aug 2010, 04:47
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Inequalities - General Rule (multiplying two inequalities)

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