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    Set Theory - Conceptual Questions

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    This problem is to be considered as a tree diagram.

    Directions: Consider below the branching tree diagram based on the number per 3000 American adults.

    1500 Americans who 635 Democrats 293 mens
    like classical music 342 women
    per 3000 adults
    511 Republican 260 men
    251 women

    354 Independents 145 men
    209 women

    Let T = the set of Amrican who like classical music
    R = the set of Republican who like classical music
    D = the set of Democrats who like classical music
    I = the set of Independents who like classical music

    Determine whether the statement is true or false. Justify your answer.

    1. I is a member of T

    2. R is a proper subset of T

    3.Let M = the set of Independent men who like classical music
    W = the set of Independent women who like classical music
    W is a proper subset of T

    4.Let M = the set of Republican men who like classical music
    W = the set of Republican women who like classical music
    If x is a member R, then x is a member of M.

    5.Let M = the set of Republican men who like classical music
    W = the set of Republican women who like classical music
    If x is a member W , then x is a member of R

    6.If x is a member of I, then x is not a member R

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    https://brainmass.com/math/discrete-math/set-theory-conceptual-questions-186681

    Solution Preview

    Assuming that all the 3000 adults that were surveyed were American ...

    (1) True [Because all Independents are also American]

    (2) True ...

    Solution Summary

    True/False answers with reasoning provided.

    $2.19

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