1. himpunan bilangan asli {1,2,3,4,5..}, bilangan cacah {0,1,2,3,4} dan bilangan bulat {...-1,0,1,2,3,4} 2. A={6,7,8,9} ={} ={6},{7},{8},{9} ={6,7}{6,8}{6,9}{7,8}{7,9}{8,9} ={6,7,8}{6,7,9}{6,8,9}{7,8,9} ={6,7,8,9} Banyak himpunan bagian 16 3. A.(AnB)c ={1,2,3,4,6,7,8} B.(AuB)c ={7,8} 4. 5. A={4,3,2,1} B={4,5,6,7} C={6,7,8,9} A.(AnB)u(BnC)={4}n{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}
Verified answer
1. himpunan bilangan asli {1,2,3,4,5..}, bilangan cacah {0,1,2,3,4} dan bilangan bulat {...-1,0,1,2,3,4}2. A={6,7,8,9}
={}
={6},{7},{8},{9}
={6,7}{6,8}{6,9}{7,8}{7,9}{8,9}
={6,7,8}{6,7,9}{6,8,9}{7,8,9}
={6,7,8,9}
Banyak himpunan bagian 16
3. A.(AnB)c ={1,2,3,4,6,7,8}
B.(AuB)c ={7,8}
4.
5. A={4,3,2,1} B={4,5,6,7} C={6,7,8,9}
A.(AnB)u(BnC)={4}n{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}
A = {6, 7, 8, 9}
himpunan bagian dari A
= { }, {6}, {7}, {8}, {9}, {6,7}, {6,8}, {6,9}, {7,8}, {7,9}, {8,9}, {6,7,8}, {6,7,9}, {6,8,9}, {7,8,9}, {6,7,8,9}
3.
a. A n B = {5}
(A n B)c = {1,2,3,4,6,7,8}
b. A u B = {1,2,3,4,5,6}
(A u B)c = {7, 8}
4.
S = {1,2,3,4,5,6,7,8}
A = {3,4,5,6}
B = {4, 5, 6}
5.
A = {6,7,8,9,10, ...}
B = {4,5,6,7}
C = {6,7,8,9}
C n B = {6,7}
(A n B) u (B n C)
= (B n A) u (B n C)
= B n (A u C)
= B n A
= {6,7}
(A u C) n (A u B)
= A u (C n B)
= A