The negation to the statement “Only people who live in America are rich” should also include the possibility that nobody is rich. Thus, the negation of ” Only people who live in America are rich ” should be:
Some people who do not live in America are rich OR Nobody is rich. (Important to understand that “Some people who do not live in America” and “Nobody is rich” are not two separate negation statements. These two together comprise the negation.
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