Question

Diketahui A={1,2,5,10} B={2,3,5,7} C={2,4,6,8} tunjukkan bahwa A n (B u C) =(A n B) u (A n c) tunjukkun bahwa A u (B n C)=(A u B) n (A u C)

Answer 1

A n (B u C) = (A n B) u (A n C)
{1,2,5,10} n ({2,3,5,7} u {2,4,6,8}) = ({1,2,5,10} n {2,3,5,7}) u ({1,2,5,10} n {2,4,6,8})
{1,2,5,10} n {2,3,4,5,6,7,8} = {2,5} u {2}
{2,5} = {2,5} <------- sama kan tuh

A u (B n C) = (A u B) n (A u C)
{1,2,5,10} u ({2,3,5,7} n {2,4,6,8}) = ({1,2,5,10} u {2,3,5,7}) n ({1,2,5,10} u {2,4,6,8})
{1,2,5,10} u {2} = {1,2,3,5,7,10} n {1,2,4,5,6,8,10}
{1,2,5,10} = {1,2,5,10} <--------- sama lagi tuh, hehe