Question

Fie multimile : A = {1,2,3,5}, B= {0,2,4,6} si C= {1,3,6,7,8,9}. Calculeaza

Answer 1

Răspuns:

Explicație pas cu pas:

A = {1, 2, 3, 5}

B = {0, 2, 4, 6}

C = {1, 3, 6, 7, 8, 9}

A ∪ B ={1, 2, 3, 5} ∪ {0, 2, 4, 6} = {0, 1, 2, 3, 4, 5, 6}

B ∪ A = A ∪ B = {0, 1, 2, 3, 4, 5, 6}

A ∩ B = {1, 2, 3, 5} ∩  {0, 2, 4, 6} = {2}

(A ∪ B) ∪ C = {0, 1, 2, 3, 4, 5, 6} ∪ {1, 3, 6, 7, 8, 9} = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

A ∪ (B ∪ C) = (A ∪ B) ∪ C  = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

B ∩ A = A ∩ B = {2}

A \ B = {1, 2, 3, 5} \ {0, 2, 4, 6} = {1, 3, 5}

B \ A = {0, 2, 4, 6} \ {1, 2, 3, 5} = {0, 4, 6}

(A \ B) \ C = {1, 3, 5} \ {1, 3, 6, 7, 8, 9} = {5}

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