Consider the statement For all sets A and B, (A − B) ∩ B = ∅. Complete the proof begun below in which the given statement is derived algebraically from the properties on the attached sheet. Be sure to...



  1. Consider the statement
    For all sets A and B, (A − B) ∩ B = ∅.



  1. Complete the proof begun below in which the given statement is derived algebraically from the properties on the attached sheet. Be sure to give a reason for every step that exactly justifies what was done in the step:
    Proof: Let A and B be any sets.



  1. (A − B) ∩ B = (A ∩ Bc ) ∩ B by the _______ law



  1. _____ = ______by the ______ law



  1. _____ = ______by the ______ law



  1. _____ = ______by the ______ law



  1. _____ = ______by the ______ law
    The number of lines in the outline shown above are just meant to be suggestive. To complete the proof you may need more or less.  Use however many lines that you need



Jun 04, 2022
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