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Posted: **Tue Sep 07, 2021 7:37 am**

: A 3 Pts Provide Two Disjoint Nonempty Closed Sets A B Disjoint Means An B 0 No Element Is Shared By Both A And 1 (8.46 KiB) Viewed 66 times

(a) (3 pts) Provide two disjoint nonempty closed sets A, B (disjoint means An B = 0, no element is shared by both A and B). Is it possible for a function f :R → R to be continuous and to have f(a) = 1 for all a € A and f(b) = 0 for all b E B?