Question

Fie multimile A={x apartine N / x este multiplu al lui 3,mai mic decat 16},B={x apartine N / x este divizor al lui 12},C={x apartine Z / -2< sau egal x a)A U B
b)B U C
c)C - A
d)B - A
e)A intersectia B
f)A intersectie C
g)A U B U C
h)A intersectie B intersectie C
i)A -(B intersectie C)
j)A U(B intersectie C)
k)(A-B)U(B-C)
DAU COROANA!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

A={0,3,6,9,12,15}
B={1,2,3,4,6,12}
C={-1,0,1,2,3....}

a. A∪B={0,1,2,3,4,6,9,12,15}
b. B∪C={-1,0,1,2,3,4,5.......}
c. C-A={-1}
d. B-A={1,2,4}
e. A∩B={3,6,12}
f. A∩C={0,3}
g. A∪B∪C={-1,0,1,2,3....}
h. A∩B∩C={3,6,12}
i.  B∩C= {1,2,3,4,6,12}, A-B∩C={0,9,15}
j.  A∪(B∩C)={0,1,2,3,4,6,9,12,15}
k. A-B={0,9,15}  , B-C=Ф, (A-B )∪ (B-C)= {0,9,15}