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November 2nd, 2011, 05:56 AM  #1 
Newbie Joined: Oct 2011 Posts: 3 Thanks: 0  The relation among formulas
Hello I have a<4b and know that ab<3 a/2 < 2b (a/2) + b < 3b How do the following relate: a  b to (a/2) Thanks 
November 2nd, 2011, 06:46 AM  #2  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: The relation among formulas Quote:
Quote:
(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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