Final answer:
The statements are true: majority rule can fail with more than two choices due to vote-splitting, and there are indeed two types of wave interference, constructive and destructive.
Step-by-step explanation:
True or false: Majority rule can fail to produce a single preferred outcome when there are more than two choices. The statement is true. When there are more than two options, voters' preferences can be spread over the multiple choices such that no single option receives a majority of the votes, which is known as the problem of vote-splitting or lack of a Condorcet winner. This scenario is commonly observed in elections but can occur in any decision-making process where a choice must be made from three or more options.
Regarding interference, the statement that there are two types of interference, constructive and destructive interference, is also true. Constructive interference occurs when waves combine to create a greater amplitude, while destructive interference occurs when waves combine to cancel each other out. This concept is a fundamental principle in physics, particularly in the study of wave behavior.
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