Question

Diketahui : A={X|X>5,X bilanga asli} B={X|3<X<8,X bilangan asli} C={X|5<X<10,X bilangan asli} Dengan Cara Mendaftarkan Anggota Tentukan : A. (A Irisan B) U (B Irisan C) B . (A U C) Irisan (A U B) C . (B U C) Irisan (A U C)

Answer 1

A = {1,2,3,4}
B = {4,5,6,7}
C = {6,7,8,9}

a) (AnB) U (BnC) = {4} U {6,7} = {4,6,7}
b)  (AUC) n (AUB) = {1,2,3,4,6,7,8,9} n {1,2,3,4,5,6,7} = {1,2,3,4,6,7}
c)  (BUC) n (AUC) = {4,5,6,7,8,9} n {1,2,3,4,6,7,8,9} = {4,6,7,8,9}