Найти A∪B; A∩B; A\B; B\A; A B; (A\B) (A∩B) , если A= {1,4,5,6} B= {2,4,6}

Question

Найти A∪B; A∩B; A\B; B\A; A B; (A\B) (A∩B) , если A= {1,4,5,6} B= {2,4,6}

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Answer 1

A∪B={1,2,4,5,6}
A∩B={4,6}
A\B={1,5}
B\A={2}
A*B={(1,2),(1,4),(1,6),(4,2),(4,4),(4,6),(5,2),(5,4),(5,6),(6,2),(6,4),(6,6)}
(A\B)*(A∩B)={1,5}*{4,6}={(1,4),(1,6),(5,4),(5,6)}