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Math Help - Set Theory Help

  1. #1
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    Set Theory Help

    prove that:

    A^c ∩ B^c ⊆ (A U B)^c

    thank you
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  2. #2
    Senior Member jakncoke's Avatar
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    first of all is c an element or a set?
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  3. #3
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    sorry...i didnt know how to type the complement sign...
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  4. #4
    Senior Member jakncoke's Avatar
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    Assume  x \in A^-1 \cap B^-1 . By Def,  x \notin A and  x \notin B so  x \in (U-A-B) which means  x \in U - (A + B) = (A \cup B)^{-1} remember the distributive laws work on sets.
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