Respuesta :

Given;

U = {1,2,3,4,5,6,7,8,9},

A = {1,2,3,4,5,6},

B = {2,4,5,6},

C = {1,6,7}.

To find;

A∩B, A∪C, (AUB)∩(A∪C), A'∩B', (A∩C)', A∪C, A∩(B∪C), A', A'∪B', A-B, A∪B, A∪(B∪C), B', (AUB)', B-C

A∩B = {2,4,5,6,}

A∪C = {1,2,3,4,5,6,7}

(AUB)∩(A∪C) = {1,2,3,4,5,6}

A'∩B' ={7,8,9}

(A∩C)' =  {2,3,4,5,7,8,9}

A∪C = {1,2,3,4,5,6,7}

A∩(B∪C) = {1,2,4,5,6}

A' = {7,8,9}

A'∪B' = {1,3,7,8,9}

A-B = {2,4,5,6}

A∪B = {1,2,3,4,5,6}

A∪(B∪C) = {1,2,3,4,5,6,7}

B' = {1,3,7,8,9}

(AUB)' = {7,8,9}

B-C = {6}

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