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 $\mathrm{A}'.$
Since $A$ is the set of all girls, $A'$ is clearly the set of all boys in the class.
Now, we want to find the results for $(A \cup B)^{\prime}$ and $A^{\prime} \cap B^{\prime}$ in the followng example.
Let $A$ and $B$ be two sets then $(A \cup B)' \cup (A' \cap B)$ is equal to
The shaded region in venn-diagram can be represented by which of the following ?
If $n(U)$ = $600$ , $n(A)$ = $100$ , $n(B)$ = $200$ and $n(A \cap B )$ = $50$, then $n(\bar A \cap \bar B )$ is
($U$ is universal set and $A$ and $B$ are subsets of $U$)
Let $U = \{ 1,\,2,\,3,\,4,\,5,\,6,\,7,\,8,\,9,\,10\} $, $A = \{ 1,\,2,\,5\} ,\,B = \{ 6,\,7\} $, then $A \cap B'$ is
Taking the set of natural numbers as the universal set, write down the complements of the following sets:
$\{x: 2 x+5=9\}$