Syubbana
A = {1,2,3,4,5,6,7} B = {5,6,7,8,9} C = {7,8,9,10,11,12}
a) A u B = B u A {1,2,3,4,5,6,7,8,9} = {1,2,3,4,5,6,7,8,9}
b) A u (B n C) = (A u B) n (A u C) {1,2,3,4,5,6,7} u (7,8,9) = {1,2,3,4,5,6,7,8,9} n {1,2,3,4,5,6,7,8,9,10,11,12} {1,2,3,4,5,6,7,8,9} = {1,2,3,4,5,6,7,8,9}
c) (A u B)^c = A^c n B^c { 10,11,12,13,14,15} = {8,9,10,11,12,13,14,15} n {1,2,3,4,10,11,12,13,14,15} { 10,11,12,13,14,15} = {10,11,12,13,14,15}
B = {5,6,7,8,9}
C = {7,8,9,10,11,12}
a) A u B = B u A
{1,2,3,4,5,6,7,8,9} = {1,2,3,4,5,6,7,8,9}
b) A u (B n C) = (A u B) n (A u C)
{1,2,3,4,5,6,7} u (7,8,9) = {1,2,3,4,5,6,7,8,9} n {1,2,3,4,5,6,7,8,9,10,11,12}
{1,2,3,4,5,6,7,8,9} = {1,2,3,4,5,6,7,8,9}
c) (A u B)^c = A^c n B^c
{ 10,11,12,13,14,15} = {8,9,10,11,12,13,14,15} n {1,2,3,4,10,11,12,13,14,15}
{ 10,11,12,13,14,15} = {10,11,12,13,14,15}