Article III of the U.S. Constitution establishes the federal court system. Explain how Article III
accomplishes this. What does Article III say about federal court judges?

According to the language of Article III of the U.S. Constitution, there is only one national Supreme Court. All other courts in the federal system are considered "inferior." Congress is empowered to create other inferior courts as it deems necessary. The inferior courts that Congress has created include the district courts, various courts of limited jurisdictions, and the U.S. courts of appeals.
Unlike state court judges, who are usually elected, federal court judges are appointed by the president of the United States, subject to approval of the United States Senate. Federal judges receive lifetime appointments, because under Article III, they hold their offices during good behavior.