Question

1,2,5,6
Am nevoie rapid
Dau 15 puncte
Am nevoie azi pls​

Answer 1

Răspuns:

Explicație pas cu pas:

1.

A = {1, 2,3}; B = {2, 4, 6}; C = {3, 5, 7}

A ∩ B = {2}

A ∩ C = {3}

B ∩ C = ∅

A U B = {1; 2; 3; 4; 6}

A U C = {1, 2, 3, 5, 7}

B U C = {2; 4; 6; 3; 5; 7}

A \ B = {1, 3}

A \ C = {1, 2}

∅ ∩ C = ∅

_____________

2.

A = {1, 2, 3, 4, 5, 6, 7]; B = {5,6, 7, 8, 9]; C = {1, 2, 3, 7, 12]

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

A U C = {1, 2, 3, 4, 5, 6, 7, 12}

B U C = {5, 6, 7, 8, 9, 1, 2, 3, 12}

A ∩ B = {5, 6, 7}

A ∩ C = {1, 2,3, 7}

B ∩ C = {7}

A U B U C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 12}

A ∩ B ∩ C = {7}

A \ B = {1, 2, 3, 4}

B \ C = {5, 6, 8, 9}

A \ C = {4, 5,6}

A U (B ∩  C) = A U {7} =  {1, 2, 3, 4, 5, 6, 7]

____________________

5.

A = {1, 2}; B = {1, 2, 5]; C = {4, 6}

(A U B) ∩ C = {1, 2, 5} ∩ {4, 6} = ∅

A U (B ∩ C) = {1, 2} U ∅ = {1, 2}

A \ (B ∩ C) = A \ ∅ = A = {1, 2}

________________________

6.

A = {1, 2}; B = {1, 2, 5]; C = {4, 6}

(A U B) ∩ C = {1, 2, 5} ∩ {4, 6} = ∅

A U (B ∩ C) = {1, 2} U ∅ = {1, 2}

C \ (A U B) = C \ {1, 2, 5} = {4, 6}