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

Using the notation of the preceding exercise, let A, B be sets in R. Show that we have A ⊂ A- (A-)- = A-, and that (A ∪ B)- = A- ∪ B-. Show that (A ∩ B)- ⊂ A- ⊂ B-, and give an example to show that the inclusion may be proper.

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