Cyclic Sum with abc=1 Constraint

2175ExpertAlgebraInequalities

SMO Finalrunde

Let $a$, $b$, $c$ be positive real numbers with $a b c = 1$. Determine all possible values that the expression $$ \frac{1+a}{1+a+a b} + \frac{1+b}{1+b+b c} + \frac{1+c}{1+c+c a} $$ can take.

0 students attempted0% solvedRating 2175

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Cyclic Sum with abc=1 Constraint

2175ExpertAlgebraInequalities

SMO Finalrunde

Let $a$, $b$, $c$ be positive real numbers with $a b c = 1$. Determine all possible values that the expression $$ \frac{1+a}{1+a+a b} + \frac{1+b}{1+b+b c} + \frac{1+c}{1+c+c a} $$ can take.

0 students attempted0% solvedRating 2175