Final answer:
The Homestead Act did not provide a cash incentive for settlers to sell their land back to the federal government.
Step-by-step explanation:
The statement is false. The Homestead Act, passed in 1862, encouraged settlers to claim and develop public land in the western United States. It offered 160 acres of land for free to individuals who met certain requirements, such as being the head of a household and cultivating the land for a period of time. The act did not provide a cash incentive for settlers to sell their land back to the federal government, but rather to settle and develop it themselves.
Learn more about Homestead Act