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10 December, 16:29

Let U = {q, r, s, t, u, v, w, x, y, z}

A = {q, s, u, w, y}

B = {q, s, y, z}

C = {v, w, x, y, z}

Determine the following.

(A' ∪ C) ∩ B'

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Answers (1)
  1. 10 December, 16:33
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    U = { q, r, s, t, u, v, w, x, y, z }

    A = { q, s, u, w, y } → A' = { r, t, v, x, z }

    B = { q, s, y, z } → B' = { r, t, u, v, w, x }

    C = { v, w, x, y, z }

    (A' ∪ C) ∩ B'

    A' ∪ C = { r, t, v, x, z } ∪ { v, w, x, y, z } = { r, t, v, w, x, y, z }

    (A' ∪ C) ∩ B' = { r, t, v, w, x, y, z } ∩ { r, t, u, v, w, x } = { r, t, v, w, x }

    Answer: (A' ∪ C) ∩ B' = { r, t, v, w, x }

    A' = U - A, B' = U - B

    The union A ∪ B, is the set of all things that are members of either A or B.

    The intersection A ∩ B, is the set of all things that are members of both A and B
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