![SOLVED: Let (X,d) be a metric space and A cX. Then which of the following statements is not true: Arbitrary union of open sets in X is open Finite intersection of open SOLVED: Let (X,d) be a metric space and A cX. Then which of the following statements is not true: Arbitrary union of open sets in X is open Finite intersection of open](https://cdn.numerade.com/ask_images/4e895a373d814547a095852e5f34a013.jpg)
SOLVED: Let (X,d) be a metric space and A cX. Then which of the following statements is not true: Arbitrary union of open sets in X is open Finite intersection of open
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![SOLVED: Prove that the finite union of closed sets is closed. 10. Show that the arbitrary intersection of open sets may not be open. 11. Let X be a topological space and SOLVED: Prove that the finite union of closed sets is closed. 10. Show that the arbitrary intersection of open sets may not be open. 11. Let X be a topological space and](https://cdn.numerade.com/ask_images/d076eaf161794e60923c3351975d200c.jpg)