Ответ:
Пошаговое объяснение:
A = {-5,2,3}; B = {1,3,4}; C = {1,2,6,7}
1) A∩B = {-5, 2, 3} ∩ {1, 3, 4} = {3}
2) A∪C = {-5,2,3} ∪ {1,2,6,7} = {-5,1,2,3,6,7}
3) (B∪C)∩A = ({1,3,4} ∪ {1,2,6,7}) ∩ {-5,2,3} = {1,2,3,4,6,7} ∩ {-5,2,3} = {2,3}
4) (A∩C)∪B = ({-5,2,3} ∩ {1,2,6,7}) ∪ {1,3,4} = {2} ∪ {1,3,4} = {1,2,3,4,}
5) A∪B∪C = {-5,2,3} ∪ {1,3,4} ∪ {1,2,6,7} = {-5,1,2,3,4} ∪ {1,2,6,7} =
= {-5,1,2,3,4,6,7}
6) A\B = {-5,2,3}\{1,3,4} = {-5,2}
7) C\A = {1,2,6,7}\{-5,2,3} = {1,6,7}
8) B∩(A\C) = {1,3,4}∩({-5,2,3}\{1,2,6,7}) = {1,3,4}∩{-5,3} = {3}
9) A×B = {-5,2,3}×{1,3,4} = {(-5,1), (-5,3)}, (-5,4), (2,1), (2,3), (2,4), (3,1), (3,3), (3,4)}
10) B×A = {1,3,4}×{-5,2,3} = {(1,-5), (1,2), (1,3), (3,-5), (3,2), (3,3), (4,-5), (4,2), (4,3)}
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Answers & Comments
Ответ:
Пошаговое объяснение:
A = {-5,2,3}; B = {1,3,4}; C = {1,2,6,7}
1) A∩B = {-5, 2, 3} ∩ {1, 3, 4} = {3}
2) A∪C = {-5,2,3} ∪ {1,2,6,7} = {-5,1,2,3,6,7}
3) (B∪C)∩A = ({1,3,4} ∪ {1,2,6,7}) ∩ {-5,2,3} = {1,2,3,4,6,7} ∩ {-5,2,3} = {2,3}
4) (A∩C)∪B = ({-5,2,3} ∩ {1,2,6,7}) ∪ {1,3,4} = {2} ∪ {1,3,4} = {1,2,3,4,}
5) A∪B∪C = {-5,2,3} ∪ {1,3,4} ∪ {1,2,6,7} = {-5,1,2,3,4} ∪ {1,2,6,7} =
= {-5,1,2,3,4,6,7}
6) A\B = {-5,2,3}\{1,3,4} = {-5,2}
7) C\A = {1,2,6,7}\{-5,2,3} = {1,6,7}
8) B∩(A\C) = {1,3,4}∩({-5,2,3}\{1,2,6,7}) = {1,3,4}∩{-5,3} = {3}
9) A×B = {-5,2,3}×{1,3,4} = {(-5,1), (-5,3)}, (-5,4), (2,1), (2,3), (2,4), (3,1), (3,3), (3,4)}
10) B×A = {1,3,4}×{-5,2,3} = {(1,-5), (1,2), (1,3), (3,-5), (3,2), (3,3), (4,-5), (4,2), (4,3)}