Here are the correct statements about members of the Supreme Court:
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Justices are appointed for life. - True. Supreme Court justices serve lifetime appointments, unless they choose to retire, resign, or are removed through impeachment.
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Supreme Court can choose which cases the justices want to hear. - True. The Supreme Court has the discretion to select the cases it wishes to hear, typically through a process called certiorari.
The following statements are not true:
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The number of justices on the Supreme Court is set in the Constitution. - False. The Constitution does not specify the number of justices; it has been set by Congress and can be changed.
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People nominated to the Supreme Court must have a degree in law. - False. While it is common for Supreme Court justices to have a law degree and legal experience, there is no formal requirement in the Constitution that they must hold a law degree. Some justices have had backgrounds in other fields.
So, the true statements are the second and fourth ones.