Answer: Would collapse without the participation of the United States.
Step-by-step explanation:
There is no cartoon attached but this should be the correct answer. The League of Nations was formed on the advice of the American President at the time, Woodrow Wilson.
Congress however refused to join the League of Nations which meant that the world's largest industrial power was not a member of the League and so many people predicted, as was done in this cartoon, that the League would not be able to survive without American participation.