Thread: prove <= 1/8

for a,b,c real positive numbers, show that

(a/(a+b)) (b/(c+b)) (c/(c+a)) <= 1/8


are there any cancellation i can use?
i thought of cancelling but i'm not sure

Originally Posted by nh149

for a,b,c real positive numbers, show that

(a/(a+b)) (b/(c+b)) (c/(c+a)) <= 1/8


are there any cancellation i can use?
i thought of cancelling but i'm not sure

Start with the AM-GM inequality.

CB

i'll try to solve using AM-GM inequality.