Di Ketahui Himpunan A ={1,2,3,4,……..,10} B ={2,4,6,8,10} dan C ={1,3,5,7,9}. Tunjukan bahwa A n (B U C) = ( A n B) U (A n B)

Mohon di jawab ya kaka:)

Pernyataan 1 : A n (B u C)

B u C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

A n (B u C) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Pernyataan 2 : (A n B) u (A n C)

A n B = {2, 4, 6, 8, 10}

A n C = {1, 3, 5, 7, 9}

(A n B) u (A nC) = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Jadi

A n (B u C) = (A n B) u (A n C) terukti

Di Ketahui Himpunan A ={1,2,3,4,……..,10} B ={2,4,6,8,10} dan C ={1,3,5,7,9}. Tunjukan bahwa A n (B U C) = ( A n B) U (A n B), Mohon di jawab ya kaka:)