The main purposes of the Supreme Court’s written majority opinions are:
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To persuade the audience - Majority opinions are crafted not only to explain the Court's decision but also to persuade other judges, lawyers, and the public of the correctness of the ruling.
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To establish precedent - These opinions create legal precedents that will guide future cases, making them an essential part of the legal system.
Therefore, the correct answers are:
- To persuade the audience
- To establish precedent