Matematika

Pertanyaan

Dik
S = { Bilangan cacah kurang dari 11 }
A = { x | x € p, x < 10,p bilangan prima }
B = { 5,7,9 }
Tentukan!
a. Ac (komplomen)
b. Bc (komplomen)
c. (A n B)c
d. (A U B)c
e. A n (A U B)c
f. Bc n (A U B)
g. (A U B)c U (A U B)c
h. (Ac n B)c U (A U Bc)c

1 Jawaban

  • a). Ac = {0,1,4,6,8,9,10}
    b). Bc = {0,1,2,3,4,6,8,10}
    c). (A Π B)c = {0,1,2,3,4,6,8,9,10}
    d). (A U B)c = {0,1,4,6,8,10}
    e). A Π (A U B)c = { }
    f). Bc Π (A U B) = {0,1,4,6,8,10}
    g). (A U B)c Π (A U B)c = {0,1,4,6,8,10}
    h). (Ac Π B)c U (A U Bc)c = {0,1,2,3,4,5,6,7,8,910}

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