SOLUTION: Given: 0 < A < B B. Explain why it is correct to claim that A/B < B/A is true.

Algebra ->  Real-numbers -> SOLUTION: Given: 0 < A < B B. Explain why it is correct to claim that A/B < B/A is true.       Log On


   



Question 1073324: Given: 0 < A < B

B. Explain why it is correct to claim that
A/B
< B/A
is true.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If a%3Cb , for any number k%3E0 , ka%3Ckb .
Since 0%3CA%3CB , B%3E0 , 1%2FA%3E0 and 1%2FB%3E0 .
system%28A%3CB%2C1%2FB%3E0%29-->%281%2FB%29A%3C%281%2FB%29B-->A%2FB%3CB%2FB-->A%2FB%3C1
system%28A%3CB%2C1%2FA%3E0%29-->%281%2FA%29A%3C%281%2FA%29B-->A%2FA%3CB%2FA-->1%3CB%2FA
system%28A%2FB%3C1%2C1%3CB%2FA%29 ---> A%2FB%3CB%2FA