Final answer:
Sovereignty is established when the authority of a nation-state is recognized and functions without interference from other nations.
Step-by-step explanation:
When the authority of a nation-state is recognized and functions without interference from other nations, it is called sovereignty. Sovereignty refers to the independent power and control a nation has over its own affairs, without being subject to external influence or control. It is a fundamental principle of international relations and is established through treaties, recognition by other nations, and the ability to exercise authority over a defined territory.
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