Final answer:
Majority rule can indeed fail to produce a single preferred outcome when there are more than two choices, which is the condorcet paradox, proving the statement true. Further, both the impact of the market revolution in the United States and the Three-Fifths Compromise's relation to representation and taxation are true statements.
Step-by-step explanation:
The student is asking whether majority rule can fail to produce a single preferred outcome when there are more than two choices. The correct answer to this is true. This situation is known as a condorcet paradox, which occurs when collective preferences are cyclic (i.e., not transitive), meaning that there is no clear majority preference among all choices available. As a result, different methods of voting or decision-making might be needed to arrive at a decision that represents the majority preference.
Regarding the examples provided, the market revolution indeed brought many social and economic changes to the United States, which makes that statement true. As for the Three-Fifths Compromise, it indeed was related to the issues of representation and taxation, so that statement is also true.