Given 





One way to show A/B < B/A is to compare both fractions to the number 1



Clearly A/B < 1   because  ,   

and  1 < B/A        also because  



so    A/B < 1 < B/A  ==>  A/B < B/A

 

RELATED QUESTIONS

Given: 0 < A < B
 
B.  Explain why it is correct to claim that 
A/B
< B/A
 is true.  (answered by KMST)

 0 < 𝐴 < 𝐵 
 
B.  Explain why it is correct to claim that... (answered by Fombitz)

Can you please explain this to me? I think the argument is correct, but I'm not 100% and... (answered by punksnotdead28)

I'm not sure if this is the right category?? But can you please explain this to me? I... (answered by stanbon)

a=b 
ab=b2
ab-a2 = b2-a2
a(b-a)=(b+a)(b-a) 
a=b+a 
a=a+a 
a=2a 
1=2 

My teacher  (answered by jim_thompson5910)

Trying to help my friend with his algebra, and I'm stumped as to what they're going for... (answered by jim_thompson5910)

This is the last problem i need help on...

A professor gives a test with 100... (answered by stanbon)

Hi! I was wondering:

Does [B^2 + A^2] = [(A+B)^2]? Why or why not?  I've tried proving  (answered by jim_thompson5910)

Solve by completing the square. x^2 -14x +49 = 0 
I came up with the answer of 7, 7 for... (answered by checkley75)