Fill in the blanks to make each of the following a true statement :
$A \cup A^{\prime}=\ldots$
$U$
$A \cup A^{\prime}=U$
Let $U=\{1,2,3,4,5,6,7,8,9\}, A=\{1,2,3,4\}, B=\{2,4,6,8\}$ and $C=\{3,4,5,6\} .$ Find
$B^{\prime}$
$(A \cup B)^{\prime}$
Let $U=\{1,2,3,4,5,6\}, A=\{2,3\}$ and $B=\{3,4,5\}$
Find $A^{\prime}, B^{\prime}, A^{\prime} \cap B^{\prime}, A \cup B$ and hence show that $(A \cup B)^{\prime}=A^{\prime} \cap B^{\prime}$
Let $A$ and $B$ be two sets then $(A \cup B)' \cup (A' \cap B)$ is equal to
Draw appropriate Venn diagram for each of the following:
$A^{\prime} \cap B^{\prime}$
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