Prove the following: 1. For all set A and B, A c A U B 2. For all sets A and B, A U B c A ∩ B 3. For all set A and B, A - B = A ∩ B 4. For all sets A and B, if A c B, then B c A 5. For all sets A, B, and C, A-(B U C) = (A - B) ∩ (A - C)
Last edited by akeem; November 22nd 2007 at 09:43 PM.
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Originally Posted by akeem Prove the following: 1. For all set A and B, A c A U B For all x in A x is of necessity in (A union B), by definition of union. You may worry that this does not work if A is the null set, but as the null set is a subset of every set the result still holds (and you don't really need to so worry). RonL
Hello, akeem! Are there typos? . . Most of these are not true . . . Prove the following for all sets . True . Not true . Not true . Not true . True
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