Question

Diketahui S={1,2,3,4,5,6,}, A= {2,3,4,5,6} dan B= {3,4,5}.

a. carilah n(A), n(B) dan n(A gabungan B)!
b. tunjukan bahwa n(S) = n(A) + n(B) - n(A irisan B) + n(A irisan B)'?
Tolong dijawab ya.

Answer 1

a. A = {2, 3, 4, 5, 6}
n(A) = 5
B = (3, 4, 5}
n(B) = 3
n(A u B) = (2, 3, 4, 5, 6}
n(A u B) = 5

b. S = {1, 2, 3, 4, 5, 6}
n(S) = 6

(A n B) = {3, 4, 5}
n(A n B) = 3

n(S) ... n(A) + n(B) - n(A n B) + n(A n B)
     6 ... 5 + 3 - 3 + 3
     6 ... 8
     6 ≠ 8