Question 24
Let $a, b, c$ be real numbers such that:
$$
|a - b| \ge |c|, \quad |b - c| \ge |a|, \quad |c - a| \ge |b|.
$$
Prove that one of the numbers $a, b, c$ equals the sum of the other two.
$$
|a - b| \ge |c|, \quad |b - c| \ge |a|, \quad |c - a| \ge |b|.
$$
Prove that one of the numbers $a, b, c$ equals the sum of the other two.