Ask Question
12 May, 03:41

A subset of clients is described that the consultant could find using her database. HINT [See Example 4.] The clients who either do not owe her money, have done at least $10,000 worth of business with her, or have employed her in the last year. Write the subset in terms of A, B, and C. A ∪ B ∪ C A ∪ B' ∪ C' A' ∪ B ∪ C A' ∪ B' ∪ C' A' ∪ B ∪ C'

+1
Answers (1)
  1. 12 May, 04:28
    0
    Write the subset in terms of A, B, and C.

    1. A ∪ B ∪ C

    2. A ∪ B' ∪ C'

    3. A' ∪ B ∪ C

    4. A' ∪ B' ∪ C'

    5. A' ∪ B ∪ C'

    Answer:

    1. A ∪ B ∪ C = {Acme, Brothers, Crafts, Dion, Effigy, Global, Hilbert}

    2. A ∪ B' ∪ C' = {Acme, Brothers, Craft, Dion, Effigy, Floyd, Global, Hilbert}

    3. A' ∪ B ∪ C = {Acme, Brothers, Crafts, Dion, Effigy, Floyd, Global}

    4. A' ∪ B' ∪ C' = {Brothers, Dion, Effigy, Floyd, Gilbert, Hilbert}

    5. A' ∪ B ∪ C' = {Acme, Brothers, Crafts, Dion, Floyd, Hilbert}

    Step-by-step explanation:

    Given

    From the hint in the question above

    A = Set of all clients who do not owe her money.

    A = {Acme, Craft, Dion, Effigy, Global, Hilbert}

    B = Set of all clients that have done at least $10,000 worth of business with her

    B = {Acme, Brothers, Crafts, Dion}

    C = Set of all clients who have employed her in the last year

    C = {Acme, Crafts, Effigy, Global}

    Let U = The Universal Set = {Acme, Brothers, Crafts, Dion, Effigy, Floyd, Global, Hilbert}

    1. A ∪ B ∪ C:

    This means the set of every elements present in A, B and C without repetition of any element of the set

    Given that

    A = {Acme, Craft, Dion, Effigy, Global, Hilbert}

    B = {Acme, Brothers, Crafts, Dion}

    C = {Acme, Crafts, Effigy, Global}

    A ∪ B ∪ C = {Acme, Brothers, Crafts, Dion, Effigy, Global, Hilbert}

    2. A ∪ B' ∪ C'

    Given that

    A = {Acme, Craft, Dion, Effigy, Global, Hilbert}

    B' = Sets of all elements in the universal set but not in B

    So, B' = {Effigy, Floyd, Global, Hilbert}

    C' = Sets of all elements in the universal set but not in C

    So, C' = {Brothers, Dion, Floyd, Hilbert}

    A ∪ B' ∪ C' = {Acme, Brothers, Craft, Dion, Effigy, Floyd, Global, Hilbert}

    3. A' ∪ B ∪ C

    A' = Sets of all elements in the universal set but not in A

    So, A' = {Brothers, Floyd}

    B = {Acme, Brothers, Crafts, Dion}

    C = {Acme, Crafts, Effigy, Global}

    A' ∪ B ∪ C = {Acme, Brothers, Crafts, Dion, Effigy, Floyd, Global}

    4. A' ∪ B' ∪ C'

    A' = Sets of all elements in the universal set but not in A

    So, A' = {Brothers, Floyd}

    B' = Sets of all elements in the universal set but not in B

    So, B' = {Effigy, Floyd, Global, Hilbert}

    C' = Sets of all elements in the universal set but not in C

    So, C' = {Brothers, Dion, Floyd, Hilbert}

    A' ∪ B' ∪ C' = {Brothers, Dion, Effigy, Floyd, Gilbert, Hilbert}

    5. A' ∪ B ∪ C'

    A' = Sets of all elements in the universal set but not in A

    So, A' = {Brothers, Floyd}

    B = {Acme, Brothers, Crafts, Dion}

    C' = Sets of all elements in the universal set but not in C

    So, C' = {Brothers, Dion, Floyd, Hilbert}

    A' ∪ B ∪ C' = {Acme, Brothers, Crafts, Dion, Floyd, Hilbert}
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A subset of clients is described that the consultant could find using her database. HINT [See Example 4.] The clients who either do not owe ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers