Final answer:
The statement that a case must be based solely on a Federal Question to be heard in federal court is false. Federal courts have jurisdiction over a variety of cases, including those involving federal questions, diversity jurisdiction, and cases where the U.S. government is a party. Both civil and criminal matters can be heard in federal courts.
Step-by-step explanation:
The assertion that a case can only be based on a Federal Question in order for a party to be able to file suit in a Federal Court is false. While it is true that cases involving federal questions, which include issues related to the Constitution, federal laws, or treaties, can be heard in federal courts, it is not the only criterion for federal court jurisdiction. Another major criterion is diversity jurisdiction, which occurs when parties in a lawsuit are from different states, or when the lawsuit involves a U.S. citizen and a foreign government or citizen, provided the amount in controversy exceeds a statutory threshold.