Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answer in set-ros

Question

Let A = {a, b, c}, B = {b, c, d}, and C = {b, c, e}. (a) Find A ∪ (B ∩ C), (A ∪ B) ∩ C, and (A ∪ B) ∩ (A ∪ C). (Enter your answer in set-roster notation.)

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Neala 3 years 2021-08-02T07:46:01+00:00 2 Answers 8 views 0

Answers ( )

  1. Delwyn
    0
    2021-08-02T07:47:06+00:00
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    Answer:

    (B n C) = {b,c}

    A = {a,b,c}

    B= {b,c,d}

    C= {b,c,e}

    A u (B n C) = {a,b,c}

    (A u B) = {a,b,c,d}

    (A u B) n C = {b,c}

    (A u C) = {a,b,c,e}

    (A u B) n (A u C) = {a,b,c}

  2. diemkieu
    0
    2021-08-02T07:47:56+00:00
    Reply

    a. A U (B n C)
    B n C = {b,c}
    A = {a,b,c}
    A U (B n C) = {a,b,c} U {b,c} = {a,b,c}

    b. A U B = {a,b,c} U {b,c,d} = {a,b,c,d}

    c. (A U B) n (A U C)

    A U B= {a,b,c,d}
    A U C= {a,b,c,e}

    (A U B) n ( A U C)

    ➡️ {a,b,c,d} n {a,b,c,e}

    ➡️ {a,b,c}

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