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The following table shows the results of a survey of authors by a fictitious publishing company. Established New Authors Authors Total Successful 4 23 27 Unsuccessful 15 57 72 Total 19 80 99 Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors. HINT [See Example 3.] Describe the set Cn N in words. O The set of authors who are successful but not new. O The set of authors who are both unsuccessful and new. O The set of authors who are either unsuccessful or new (or both). O The set of authors who both successful and new. O The set of authors who are either successful or new (or both). Describe the set Cu N in words. O The set of authors who are either successful or new (or both). O The set of authors who are unsuccessful but not new. O The set of authors who are either unsuccessful or new (or both). O The set of authors who are both successful and new. O The set of authors who are both unsuccessful and new. Use the table to compute n(C), n(N), n(C n N), and n(C u N). n(C) = n(N) = n(C n N) = n(Cu N) = Does n(C u N) = n(C) + n(N) - n(C n N)? O Yes O No Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows, Witbank Aces, Royal Tigers, Dundee United, Lyon} be a universal set, A = {Southend, Liverpool, Maroka Swallows, Royal Tigers}, and B = {Barnsley, Manchester United, Southend}. Find the number %3D indicated. n((A n B)')

The following table shows the results of a survey of authors by a fictitious publishing company. Established New Authors Authors Total Successful 4 23 27 Unsuccessful 15 57 72 Total 19 80 99 Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors. HINT [See Example 3.] Describe the set Cn N in words. O The set of authors who are successful but not new. O The set of authors who are both unsuccessful and new. O The set of authors who are either unsuccessful or new (or both). O The set of authors who both successful and new. O The set of authors who are either successful or new (or both). Describe the set Cu N in words. O The set of authors who are either successful or new (or both). O The set of authors who are unsuccessful but not new. O The set of authors who are either unsuccessful or new (or both). O The set of authors who are both successful and new. O The set of authors who are both unsuccessful and new. Use the table to compute n(C), n(N), n(C n N), and n(C u N). n(C) = n(N) = n(C n N) = n(Cu N) = Does n(C u N) = n(C) + n(N) - n(C n N)? O Yes O No Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows, Witbank Aces, Royal Tigers, Dundee United, Lyon} be a universal set, A = {Southend, Liverpool, Maroka Swallows, Royal Tigers}, and B = {Barnsley, Manchester United, Southend}. Find the number %3D indicated. n((A n B)')

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.1: Sets
Problem 6E: 6. Determine whether each of the following is either , , , or , where is an arbitrary subset of the...
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The following table shows the results of a survey of authors by a fictitious publishing company. Established New Authors Authors Total Successful 4 23 27 Unsuccessful 15 57 72 Total 19 80 99 Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors. HINT [See Example 3.] Describe the set Cn N in words. O The set of authors who are successful but not new. O The set of authors who are both unsuccessful and new. O The set of authors who are either unsuccessful or new (or both). O The set of authors who both successful and new. O The set of authors who are either successful or new (or both). Describe the set Cu N in words. O The set of authors who are either successful or new (or both). O The set of authors who are unsuccessful but not new. O The set of authors who are either unsuccessful or new (or both). O The set of authors who are both successful and new. O The set of authors who are both unsuccessful and new. Use the table to compute n(C), n(N), n(C n N), and n(C u N). n(C) = n(N) = n(C n N) = n(Cu N) = Does n(C u N) = n(C) + n(N) - n(C n N)? O Yes O No
Transcribed Image Text:The following table shows the results of a survey of authors by a fictitious publishing company. Established New Authors Authors Total Successful 4 23 27 Unsuccessful 15 57 72 Total 19 80 99 Consider the following subsets of the set S of all authors represented in the table: C, the set of successful authors; U, the set of unsuccessful authors; N, the set of new authors; and E, the set of established authors. HINT [See Example 3.] Describe the set Cn N in words. O The set of authors who are successful but not new. O The set of authors who are both unsuccessful and new. O The set of authors who are either unsuccessful or new (or both). O The set of authors who both successful and new. O The set of authors who are either successful or new (or both). Describe the set Cu N in words. O The set of authors who are either successful or new (or both). O The set of authors who are unsuccessful but not new. O The set of authors who are either unsuccessful or new (or both). O The set of authors who are both successful and new. O The set of authors who are both unsuccessful and new. Use the table to compute n(C), n(N), n(C n N), and n(C u N). n(C) = n(N) = n(C n N) = n(Cu N) = Does n(C u N) = n(C) + n(N) - n(C n N)? O Yes O No
Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows, Witbank Aces, Royal Tigers, Dundee United, Lyon} be a universal set, A = {Southend, Liverpool, Maroka Swallows, Royal Tigers}, and B = {Barnsley, Manchester United, Southend}. Find the number %3D indicated. n((A n B)')
Transcribed Image Text:Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows, Witbank Aces, Royal Tigers, Dundee United, Lyon} be a universal set, A = {Southend, Liverpool, Maroka Swallows, Royal Tigers}, and B = {Barnsley, Manchester United, Southend}. Find the number %3D indicated. n((A n B)')
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