Using the notation of the preceding exercise, let A, B be sets in R. Show that we

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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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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 11:13 AM

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Using the notation of the preceding exercise, let A, B be sets in R. Show that we

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For any set B since B is a closed set containing B then B B If we take B A we get A A Since A is ...View the full answer

Introduction to Real Analysis

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