Question

8. Даны множества A={2; –2; 7; 8; –9; 0}; B={12; –2; –7; 8; 9; 0; –9}; C={1; –2; –7; 9; –10}. Найдите: a) A\B; б) A\C; в) C\B; г) B\A; д) B\C; e) (A∩B)∩C; ж) (B\C)∪ A; з) C∪(A\B).

Answer 1

A={2; –2; 7; 8; –9; 0}; B={12; –2; –7; 8; 9; 0; –9}; C={1; –2; –7; 9; –10}. 

a) A\B={2; 7};
б) A\C={2; 7; 8; –9; 0};
в) C\B={1; –10};
г) B\A={12; –7; 9;}; 
д) B\C={12; 8; 0; –9};
e) (A∩B)∩C={–2};
ж) (B\C)∪ A={12; 2; –2; 7; 8; –9; 0};
з) C∪(A\B)={1; –2; –7; 9; –10; 2; 7}.

Answer 2

a) A\B = {2, 7, -9} б) A\C = {2, 7, 8} в) C\B = {1, 9, -10} г) B\A = {12, -7, 9} д) B\C = {12, 0, -10} e) (A∩B)∩C = {-2, 8, 0} ∩ C = {-2, 9, -7, -10} ж) (B\C)∪A = {12, 0, -10} ∪ {2, -2, 7, 8, -9, 0} = {12, 0, -10, 2, -2, 7, 8, -9} з) C∪(A\B) = {1, -2, -7, 9, -10} ∪ {2, 7, -9} = {1, -2, -7, 9, -10, 2, 7, -9}