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Math Help - Set Theory - Data Management

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    Set Theory - Data Management

    39. Given that the universal set 'S' is the set of all real numbers, illustrate the relationship between the following sets using a Venn diagram:

    A = {x | set of all odd numbers}
    B= {x | set of all even numbers}
    C= {x | set of all positive numbers}
    D = {x | set of all real numbers such that -4 # x# 4



    40. Given A = {1,3,5,7}
    B = {c,d}
    S = {X E I | 0 < x <10} ∪ {x |x is a letter of the word dice}

    Find each of the following sets.

    a) A'
    b) B'
    c) A ∪ B'
    d) (A ∪ B)'


    41. Given A= {x | x is a man}
    B= {x|x has broad shoulders}
    C= {x|x dislikes sports}

    Describe each of the following sets in words:

    a) B ∪ C

    b) A ∩ B

    c) A ∪ C

    d) A ∪ (B ∩ C)
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by cnmath16 View Post
    39. Given that the universal set 'S' is the set of all real numbers, illustrate the relationship between the following sets using a Venn diagram:

    A = {x | set of all odd numbers}
    B= {x | set of all even numbers}
    C= {x | set of all positive numbers}
    D = {x | set of all real numbers such that -4 # x# 4
    what have you tried? can you at least say their relationships in words? which set will be contained in which? which ones overlap? etc. that's the first step

    40. Given A = {1,3,5,7}
    B = {c,d}
    S = {X E I | 0 < x <10} ∪ {x |x is a letter of the word dice}

    Find each of the following sets.

    a) A'
    b) B'
    c) A ∪ B'
    d) (A ∪ B)'
    note that S = {d, i, c, e, 1, 2, 3, 4, 5, 6, 7, 8, 9}

    A' = {everything in S that is not in A} = ...

    B' = {everything in S that is not in B} = ...

    A ∪ B' = {anything that is in A and B'} = ... (i suppose you know how to form unions?)

    (A ∪ B)' = {everything in S that is not in the set A ∪ B} = ...

    41. Given A= {x | x is a man}
    B= {x|x has broad shoulders}
    C= {x|x dislikes sports}

    Describe each of the following sets in words:

    a) B ∪ C

    b) A ∩ B

    c) A ∪ C

    d) A ∪ (B ∩ C)
    think of ∪ as "or" and ∩ as "and" or "with". now what can you come up with?
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