if U is the universal set and A U then fill in the blanks.

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 \{\}

 

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