SOLUTION: If {{{5<a<7}}}{{{""<b<14}}},then prove that {{{5/14<a/b<1}}}

Question 215084:
If ,then prove that

Answer by Edwin McCravy(20067) (Show Source): You can put this solution on YOUR website!
If then prove that


 is given

Multiply both sides by  which is positive and
does not reverse inequality:







Multiply both sides by  which is positive and does
not reverse the inequality:

(1)       

 is given

Multiply both sides by 

(2)      

By inequalities (1) and (2),



So 

(3)  

Now we only need show that 

We are given that  so



Multiply both sides by 



(4)  

By (3) and (4),



which was to be proved.

Edwin

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