They all refer to the different types of government systems there are. An example would be that the United States has a a federal government system because both the state governments and national government share equal power.
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State courts handle most criminal and civil trials, whereas federal courts address constitutional law and appeals from state courts of last resort.
Explanation:
In the United States, the federal and state court system has certain distinctions in their functions. The state court deals with the matters related to the citizens of a particular state and federal court involves legal issues of a country and its law.
Federal courts deal with the matter of constitutionalizing of laws and its violations, it handles disputes between States and issues passed by the state court. State court deals with serious criminal cases, state laws and civil trails.