Let A S and B S set. Prove the following: A B if
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Question:
Let A ⊂ S and B ⊂ S set. Prove the following:
• A ⊂ B if and only if A ∪ B = B;
• A ⊂ B if and only if A ∩ B = A;
• A ⊂ S − B if and only if A ∩ B = ∅.
• A ⊂ B if and only if S − B ⊂ S − A.
Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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