Question

Fie multimile A{1,2,3,4,5,6,7}, B{5,6,7,8,9} C{1,2,3,7,12} reprezentate mai jos prin diagrame Venn-Euler.Enumerati elementele urmatoarelor multimi: a) A∪B b)A∪C c)B∪C d)A∩B e)A∩C f)B∩C g)A∪B∪C h)A∩B∩C i)A\B j)B\C k)A\C l)A∪(B∩C) VA ROG AJUTATIMA DAU COROANA

Answer 1

a) A∪B={1, 2, 3, 4, 5, 6, 7, 8, 9}  
b) A∪C={1, 2, 3, 4, 5, 6, 7, 12}   
c) B∪C={1, 2, 3, 5, 6, 7, 8, 9, 12}  
d) A∩B={5, 6, 7}   
e) A∩C={1, 2, 3, 7}   
f) B∩C={7}   
g) A∪B∪C={1, 2, 3, 4, 5, 6, 7, 8, 9, 12}   
h) A∩B∩C={7}   
i) A\B={1, 2, 3, 4}   
j) B\C={5, 6, 8, 9}    
k) A\C={4, 5, 6}   
l) A∪(B∩C)=A∪{7}={1, 2, 3, 4, 5, 6, 7}

Answer 2

AUB={1,2,3,4,5,6,7,8,9}
B∪C={1,2,3,5,6,7,8,9,12}
A∩B={5,6,7}
A∩C={1,2,3,7}
B∩C={7}
A∪B∪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∪(B∩C)={1,2,3,4,5,6,7}