Question 24
Let $x, y$ be positive real numbers with $xy = 4$.
Prove that
$$
\frac{1}{x+3} + \frac{1}{y+3} \le \frac{2}{5}
$$
For which $x$ and $y$ does equality hold?
Prove that
$$
\frac{1}{x+3} + \frac{1}{y+3} \le \frac{2}{5}
$$
For which $x$ and $y$ does equality hold?