Answer to Question #289235 in Discrete Mathematics for Arjun

Question

Let A = {0, 2, 4, 6, 8, 10}, B = {0, 1, 2, 3, 4, 5, 6}, and C = {4, 5, 6, 7, 8, 9, 10}. Find

A ∩ B ∩ C.

A ∪ B ∪ C.

(A ∪ B) ∩ C.

(A ∩ B) ∪ C.

Answer 1

A n B n C = {4,6}

A u B u C={0,1,2,3,4,5,6,7,8,9,10}

(A u B) = {0,1,2,3,4,5,6,8,10}

(A u B) n C = {4,5,6,8,10}

(A n B) = {2,4,6}

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