[" I Example "109." If "a,b,c" be positive real numbers,"],[" prove that "(a)/(b+c)+(b)/(c+a)+(c)/(a+b)>=(3)/(2)]

Similar Questions

Explore conceptually related problems

If a,b,c are positive real numbers such that a+b+c=1, then prove that (a)/(b+c)+(b)/(c+a)+(c)/(a+b)>=(3)/(2)

If a,b,c are positive unequal real numbers then prove that (a+b+c)(1/a+1/b+1/c)gt9

If a,b,c are positive unequal real numbers then prove that (bc)/a+(ca)/b+(ab)/cgea+b+c .

If a,b,c are three distinct positive real numbers prove that (a+b)^(6)+(b+c)^(6)+(c+a)^(6)>192(abc)^(2)

If a, b, c are positive real numbers, then the least value of (a+b+c)((1)/(a)+(1)/(b)+(1)/( c )) , is

If a,b,c are positive reral numbers such that (log a)/(b-c)=(log b)/(c-a)=(log c)/(a-b), then prove that

If a,b,c are three positive real numbers then show that (a+b+c) (1/a+1/b+1/c)ge9 .

If a, b, c are positive real numbers such that a + b + c = 1 , then prove that a/(b + c)+b/(c+a) + c/(a+b) >= 3/2