# Inequality Proofs

Inequality Proofs can be done many ways. For proving $A \ge B$, one of the easiest ways is to show $A – B \ge 0$.

### Worked Example of Inequality Proofs

If $a, b$ and $c$ are positive real numbers and $a+b\ge c$, prove that $\displaystyle \frac{a}{1+a} + \frac{b}{1+b} \ge \frac{c}{1+c}$.