Question

(a+b)/a+b+m

如何证明(a+b)/(a+b+m) - c/(c+m) >0
注：a,b,c,m均大于0 一道数学题,做到这步不会证了.只要证出这步就成.不用太复杂.

Answer 1

a+b>c m*(a+b)>mc (a+b)*(c+m)＞c*(a+b+m) (a+b)/(a+b+m) ＞ c/(c+m) (a+b)/(a+b+m) - c/(c+m) >0