A set is said to be relatively compact if is compact. Given such a set and a function,, which of the following is false?

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A set<br><img src='https://www.fatskills.com/images2/GradExams/F56BDBA1-3891-44A2-BD88-E7488C35D3AC.png' height='16' width='58'/> is said to be relatively compact if<br><img src='https://www.fatskills.com/images2/GradExams/DB589199-6F4C-444A-8219-BAC76FFB9FDD.png' height='17' width='15'/> is compact. Given such a set<br><img src='https://www.fatskills.com/images2/GradExams/A4EACF6A-D032-476B-B896-F36BCA978426.png' height='15' width='14'/> and a function,<br><img src='https://www.fatskills.com/images2/GradExams/DC2CB94B-CD30-48F4-AE4C-2E3DD193794D.png' height='18' width='92'/>, which of the following is false?