If `a ,b ,c` are positive, then prove that `a//(b+c)+b//(c+a)+c//(a+b)geq3//2.`

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

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 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 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=0 , then prove that a(b+c)^2+b(c+a)^2+c(a+b)^2=3abc

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

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

If a,b,c are positive unequal real numbers then prove that b^2c^2+c^2a^2+a^2b^2gtabc(a+b+c) .

If a ,b ,c are real numbers such that 0 < a < 1,0 < b < 1,0 < c < 1,a+b+c=2, then prove that a/(1-a)b/(1-b)c/(1-c)geq8