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Math Help - some basic set questions

  1. #1
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    some basic set questions

    (1) Is (B n A) n (A' u C') equivalent to B n [ A n (A' n C')] ??

    If so , what law is that ? Distributive laws ?


    (2) why is A' n (A' u B) = A' ??


    Can someone explain the above 2 questions to me .. Thanks a lot !!
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  2. #2
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    Quote Originally Posted by thereddevils View Post
    (2) why is A' n (A' u B) = A' ??
    You should know P \subseteq Q\; \Rightarrow \;P \cap Q = P

    Then observe that A' \subseteq A' \cup B.
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  3. #3
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    Thanks Plato , i got it . How about (1) ?
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  4. #4
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    Quote Originally Posted by thereddevils View Post
    How about (1) ?
    Let X=B\cap A then X\cap(A'\cup C')=(X\cap A')\cup (X\cap C')
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