Assume that A is a compact subset of a metric space (X,d), and B is a closed subset of A. Line 1: Last Line: Therefore, B is Compact. Options: Line 1:  Let F be an open cover of A Line 1:  Suppose that B is compact Line 1:  Let F be an open cover of B Line 1:  A is closed and bounded Last Line:  Therefore, there exists a finite subcover Last Line:  Therefore, B is closed and bounded Last Line:  Therefore, A is compact. Last Line:  Therefore, there exists a finite subcover G of F that covers A

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