Даны множества: A = {1, 2, 3, 4, 5, 6, 7, 8}, B = {3, 4, 7, 8, 9, 10}, C = {0, 4, 5, 6, 9, 10}. Найти: а) M = (A \ B) ∪ (C \ A); б) M = (B ∩ C) \ (C ∩ A).

Дано: \(A=\{1,2,3,4,5,6,7,8\}\), \(B=\{3,4,7,8,9,10\}\), \(C=\{0,4,5,6,9,10\}\).

а)

1. \(A\setminus B=\{1,2,5,6\}\).
2. \(C\setminus A=\{0,9,10\}\).
3. \(M=(A\setminus B)\cup(C\setminus A)=\{1,2,5,6\}\cup\{0,9,10\}=\{0,1,2,5,6,9,10\}\).

б)

1. \(B\cap C=\{4,9,10\}\).
2. \(C\cap A=\{4,5,6\}\).
3. \(M=(B\cap C)\setminus(C\cap A)=\{4,9,10\}\setminus\{4,5,6\}=\{9,10\}\).

Ответ: а) \(M=\{0,1,2,5,6,9,10\}\); б) \(M=\{9,10\}\).