if U = {a, b, c} and A = {a, c, d, e} then verify that:

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) $(A \cap B)^{\prime}=\left(A^{\prime} \cup B^{\prime}\right)$

 

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