[EX 5] ,este pentru azi ​

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

A/(B∩C) = {1,2,3,4} / {3,6} = {1,2,4}

(A∩C) / B = {3} / B = multime vida

A ∩ (B/C) = {1,2,3,4} ∩ {2,5,7} = {2}

(B∩A) / (A∩C) = {2,3} / {3} = {2}

(A∩B) UC = {2,3} U {0,3,6,8} = {0,2,3,6,8}

(C/B) U(A/B) = {0,8} U {1,4 } = {0,1,4,8}

Răspuns:

Explicație pas cu pas:

A = {1, 2, 3, 4}

B = {2, 3, 5, 6, 7}

C = {0, 3, 6, 8}

B ∩ C = {3, 6}  

A \ (B ∩ C) = {1, 2, 3, 4} \ {3, 6} = {1, 2, 4}

________________________

A ∩ C = { 3 }

(A ∩ C) \ B = {3} \ B = ∅

________________________

B \ C = {2, 5, 7}

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

________________________

B ∩ A = {2, 3}

(B ∩ A) \ (A ∩ C) = {2, 3} \ {3} = {2}

________________________

(A ∩ B) U C = {2, 3} U {0, 3,  6, 8} = {0, 2, 3, 6, 8}

________________________

C \ B =  {0, 8}

A \ B = {1, 4}  

(C \ B) U (A \ B) = {0, 8} U {1, 4} = {0, 1, 4, 8}