Question

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2,3,5,7}. Verify that

(i) (A∪B)’ = A’∩B’

(ii) (A∩B)’ = A’∪B’.

Answer 1

(i) A’ = {1, 3, 5, 7, 9},

(ii) B’ = {1,4, 6, 8, 9}

(iii) C’ = {b, d, f, h}

(iv) D’={b, c. d, e}