In the U.S. Constitution, inter-state disputes are addressed primarily through two amendments:

1. Article III, Section 2: This provision grants the Supreme Court original jurisdiction in cases where a state is a party, including disputes between states. The Court can directly hear and decide such cases without going through lower courts.
2. Article IV, Section 3: This section allows Congress to admit new states and manage federal lands, providing a framework for resolving disputes involving state boundaries and federal jurisdiction.

These constitutional provisions establish a legal framework for resolving conflicts between states, ensuring that such disputes can be addressed by the highest court or through congressional action.