Question: Using the notation of the preceding exercise, let A, B be sets in R. Show that Ao (Ao)o = Ao and that (A

Using the notation of the preceding exercise, let A, B be sets in R. Show that Ao ⊂ (Ao)o = Ao and that (A ∩ B)o = Ao ∩ Bo. Show also that Ao ⋃ Bo ⊂ (A ⋃ B)o, and give an example to show that the inclusion may be proper.

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