Suppose is a compact subset of. Which of the following is false?

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Suppose<br><img src='https://www.fatskills.com/images2/GradExams/17EBA4AF-62DE-470C-978B-1A4E59A39461.png' height='15' width='14'/> is a compact subset of<br><img src='https://www.fatskills.com/images2/GradExams/C2AE0657-C543-44B8-9E5F-32A4A8CA2D5E.png' height='15' width='26'/>. Which of the following is false?