PAMO 2015 Problem 1

Prove that $\sqrt{x-1}+\sqrt{2x+9}+\sqrt{19-3x}<9$ for all real $x$ for which the left-hand side is well defined.

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.