When "lower courts" (district courts is what i think you meant) resolve disputes they determine the facts and apply legal principles to decide who is right. Often there are trial courts which include the district judge who tries the case and lets the jury decide.
Explanation:
to Resolve disputes, interpret the law and set precedents are the 3 roles in court.
They felt the Proclamation was a plot to keep them under the strict control of England and that the British only wanted them east of the mountains so they could keep an eye on them.
