For $a, b, c0$, the equations $a(1-b)\frac{1}{4}, b(1-c)\frac{1}{4}$ and $c(1-a)\frac{1}{4}$ are

Question

For $a, b, c>0$, the equations $a(1-b)>\frac{1}{4}, b(1-c)>\frac{1}{4}$ and $c(1-a)>\frac{1}{4}$ are

Professor PC Thomas Classes · Answer

Multiplying the inequalities produces a mathematical contradiction.