Question 46
Prove that
$$
\frac{1}{x+y+1} - \frac{1}{(x+1)(y+1)} \lt \frac{1}{11}
$$
for all positive $x$ and $y$.
$$
\frac{1}{x+y+1} - \frac{1}{(x+1)(y+1)} \lt \frac{1}{11}
$$
for all positive $x$ and $y$.
MathNet 2014 Question 46
Math Olympiad Vault · MathNet 2014