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Math Help - Determine a Set

  1. #1
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    Smile Determine a Set

    Im taking a mathematical proofs class and im thrown off on what the X's mean in this problem ! Any Advice?

    Let U={1,2,3,4} be the universal set, and let A={1,2,3}. Determine the set S={X e P(A) : lXl =the complement of lXl} by listing its elements
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  2. #2
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    Quote Originally Posted by nikie1o2 View Post
    Im taking a mathematical proofs class and im thrown off on what the X's mean in this problem ! Any Advice?

    Let U={1,2,3,4} be the universal set, and let A={1,2,3}. Determine the set S={X e P(A) : lXl =the complement of lXl} by listing its elements
    Please rewrite the question? As it is now, it is impossible to understand.
    No set is equal to its complement. Usually |X| stands for the number of elements in the set X. Look up that notation in your text. What does it mean?
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  3. #3
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    I can't type out the proper terminolgy used in my problem...its asking to determine a Set where X is a element of the power set of A, such that the cardinality of X equals the cardinality of the complement of X
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    Because the universe has four elements, then you want to list the subsets of A that have two elements.
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