Let $U$ be the universal set and $A \cup B \cup C = U$. Then $\{ (A - B) \cup (B - C) \cup (C - A)\} '$ is equal to
$A \cup B \cup C$
$A \cup (B \cap C)$
$A \cap B \cap C$
$A \cap (B \cup C)$
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
$(A \cup C)^{\prime}$
Draw appropriate Venn diagram for each of the following:
$(A \cup B)^{\prime}$
Let $\mathrm{U}$ be universal set of all the students of Class $\mathrm{XI}$ of a coeducational school and $\mathrm{A}$ be the set of all girls in Class $\mathrm{XI}$. Find $\mathrm{A}'.$
Taking the set of natural numbers as the universal set, write down the complements of the following sets:
$\{ x:x$ is a positive multiple of $3\} $
If $U =\{1,2,3,4,5,6,7,8,9\}, A =\{2,4,6,8\}$ and $B =\{2,3,5,7\} .$ Verify that
$(A \cap B)^{\prime}=A^{\prime} \cup B^{\prime}$