Question 2
Let $x$, $y$ be positive real numbers such that
$$
x + y + xy = 3.
$$
Prove that
$$
x + y \ge 2.
$$
When does equality hold?
$$
x + y + xy = 3.
$$
Prove that
$$
x + y \ge 2.
$$
When does equality hold?
MathNet 2011 Question 2
Math Olympiad Vault · MathNet 2011