RU-ALLRUSSIAN 1999 Problem 107

Positive numbers $x,y$ satisfy $x^2+y^3 \ge x^3+y^4$ . Prove that $x^3+y^3 \le 2$ .

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.