Răspuns:
Explicație pas cu pas:
6)
a)
A∩B= { 3,5 }
A∩C={2,4,6 }
A∩D={3 }
B∩C={∅}
B∩D={∅}
C∩D={∅}
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b)
A∪B= {2,3,4,5,6,7 }
A∪C={1,2,3,4,5,6,9 }
B∪C= {3,5,7,2,4,6,8 }
B∪D= {3,5,7,1,9 }
C∪D= {2,4,6,8,1,3,9 }
B∪{7,8,9 }= { 3,5,7 ,8,9 }
A∩(B∪C)= A∩{1,3,5,7,9}= { 1,2,3,4,5,6,7,9 }
C∪(B∩D)=C∩{3}= ∅
B∪C∪D= {3,5,7,2,4,6,8,1,9}
(A∩B)∪(A∩D)={3,5 }∪{3}= {3,5 }
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c)
A/B={2,4,5,6 }
B/A={7 }
A/C= {5,3 }
C/A={8 }
A/D={2,4,5,6 }
D/A={1,9 }
D/C={∅}
C/B={∅}
B/D= {5,7 }
D/B={1,9 }
C/D={∅}
D/C={1,9 }
A/(B∩C)=A/∅={2,3,4,5,6 }
C∪(A/D)= C∪{2,4,5,6 }= {2,4,5,6,8 }
(A∪B)/(C∪D)={2,3,4,5,6,7}/{2,4,6,8,1,3,9 }={5,7 }
(A∩B)/C={3,5 }/{2,4,6,8}={3,5 }
A/(B∩D)= A/∅={2,3,4,5,6 }
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