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November 2nd, 2011, 05:56 AM   #1
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The relation among formulas

Hello

I have a<4b

and know that
a-b<3
a/2 < 2b
(a/2) + b < 3b

How do the following relate:

a - b to (a/2)

Thanks
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November 2nd, 2011, 06:46 AM   #2
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Re: The relation among formulas

Quote:
Originally Posted by RobRoc
Hello

I have a<4b

and know that
a-b<3
Are you saying that you know both a< 4b and a- b< 3? From a< 4b, we have that a- b< 3b, not a- b< 3.

Quote:
a/2 < 2b
Yes, dividing both sides of a< 4b by 2 give s that.
(a/2) + b < 3b

How do the following relate:

a - b to (a/2)

Thanks[/quote]
From a< 4b, a/4< b so -a/4> -b and then -b< -a/4. Then a- b< a- a/4= 3a/4> a/2 (for a positive).
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