AssignmentsAssignment 7Assignment 7Comments: Only few students got the correct answers for 4.49. Notice by induction one could only show ⋃k=1nAn\bigcup_{k=1}^n A_n⋃k=1nAn is countable. But it is not sufficient to show the countability of ⋃k=1∞An\bigcup_{k=1}^\infty A_n⋃k=1∞An.