Question:
if U is the universal set and A U then fill in the blanks.
(i) $A \cup A^{\prime}=\ldots$
(ii) $\mathbf{A} \cap \mathbf{A}^{\prime}=\ldots$
(iii) $\phi$ ' $\cap \mathrm{A}=\ldots$
(iv) $U$ ' $\cap A=\ldots$
Solution:
Given: $U$ is the universal set and $A \subset U$
(i) $A \cup A^{\prime}=U$
(ii) $A \cap A^{\prime}=\Phi$ or $\}$
(iii) $\phi$ ' $\cap \mathrm{A}=\Phi$
(iv) $U^{\prime} \cap A=\Phi$ or \{\}