A freelance computer consultant keeps a database of her clients, which contains the names S = {Acme, Brothers, Crafts, Dion, Effigy, Floyd, Global, Hilbert}. The following clients owe her money: A = {Acme, Crafts, Effigy, Global}. The following clients have done at least $10,000 worth of business with her: B = {Acme, Brothers, Crafts, Dion}. The following clients have employed her in the last year: C = {Acme, Crafts, Dion, Effigy, Global, Hilbert}. 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. List the clients in the subset.

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Chapter9: Counting And Probability
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A freelance computer consultant keeps a database of her clients, which contains the names

S = {Acme, Brothers, Crafts, Dion, Effigy, Floyd, Global, Hilbert}.

The following clients owe her money:

A = {Acme, Crafts, Effigy, Global}.

The following clients have done at least $10,000 worth of business with her:

B = {Acme, Brothers, Crafts, Dion}.

The following clients have employed her in the last year:

C = {Acme, Crafts, Dion, Effigy, Global, Hilbert}.


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.

List the clients in the subset.

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