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4 December, 03:42

Let A = {l, m, n, o, p}, B = {o, p, q, r}, and C = {r, s, t, u}. Find the following

(A ∪ B) ∩ C

A ∩ (C ∪ B)

(A ∩ B) ∪ C

At a newsstand, out of 46 customers, 27 bought the Daily News, 18 bought the Tribune, and 6 bought both papers. Use a Venn diagram to answer the following questions:

How many customers bought only one paper?

How many customers bought something other than either of the two papers?

State whether each pair of sets is equal, equivalent, or neither.

{d, o, g}: {c, a, t}

{run} : {{r, u, n}

{t, o, p} : {p, o, t}

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Answers (1)
  1. 4 December, 05:26
    0
    Answer and Step-by-step explanation:

    A = {l, m, n, o, p}

    B = {o, p, q, r}

    C = {r, s, t, u}

    (A ∪ B) ∩ C

    (A ∪ B) = {l, m, n, o, p, q, r}

    C = {r, s, t, u}

    (A ∪ B) ∩ C = {r}

    A ∩ (C ∪ B)

    (C ∪ B) = {o, p, q, r, s, t, u}

    A = {l, m, n, o, p}

    A ∩ (C ∪ B) = {o, p}

    (A ∩ B) ∪ C

    (A ∩ B) = {o, p}

    C = {r, s, t, u}

    (A ∩ B) ∪ C = {o, p, r, s, t, u}

    At a newsstand, out of 46 customers, 27 bought the Daily News, 18 bought the Tribune, and 6 bought both papers. Use a Venn diagram to answer the following questions:

    only daily news: 21 (27-6)

    only tribune: 12 (18-6)

    Total newspaper: 39 (21+12+6)

    Other than newspapers: 7 (46 - 39)

    How many customers bought only one paper? 21+12 = 33

    How many customers bought something other than either of the two papers? 7

    equal, equivalent, or neither.

    {d, o, g}: {c, a, t} equivalent

    {run} : {{r, u, n} equal

    {t, o, p} : {p, o, t} equal
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