Question:
if U = {a, b, c} and A = {a, c, d, e} then verify that:
(i) $(A \cup B)^{\prime}=\left(A^{\prime} \cap B^{\prime}\right)$
(ii) $(A \cap B)^{\prime}=\left(A^{\prime} \cup B^{\prime}\right)$
Solution:
Given; U = {a, b, c} and B = {a, c, d, e}
(i) $(A \cup B)^{\prime}=\left(A^{\prime} \cap B^{\prime}\right)$
(ii) $(A \cap B)^{\prime}=\left(A^{\prime} \cup B^{\prime}\right)$