SE-SKOLORNAS 1995 Problem 4
The product of three positive numbers is and their sum is greater than the sum of their inverses. Prove that one of these numbers is greater than , while the other two are smaller than .
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
Similar problems
These problems have the most words in common with this statement.