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Math Help - prove disjointed sets

  1. #1
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    prove disjointed sets

    Prove A and B are is disjoint if and only if  \sim A \cup \sim B= the universal set.
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  2. #2
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    Quote Originally Posted by tigergirl View Post
    Prove A and B are is disjoint if and only if  \sim A \cup \sim B= the universal set.
    Is this true x \notin \left( { \sim A~ \cup  \sim B} \right) \Rightarrow \quad x \in A \wedge x \in B ?
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  3. #3
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    yes...so this means that they are equal
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