Complement of a Set

Let $U=\left\{1, 2, 3, 4, 5, 6\right\}, A=\left\{2, 3\right\}$ and $B=\left\{3, 4, 5\right\}$.
Find $A^{\text{'}}, B^{\text{'}}, A^{\text{'}}\cap B^{\text{'}}, A\cup B$ and hence show that ${\left(A\cup B\right)}^{\text{'}}=A^{\text{'}}\cap B^{\text{'}}$.

Let $U$ be universal set of all the students of Class $XI$ of a coeducational school and $A$ be the set of all girls in Class $XI$. Find $A\text{'}$.

Let $U=\left\{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\right\}$ and $A=\left\{1, 3, 5, 7, 9\right\}$. Find $A^{\text{'}}$.

Given $n\left(U\right)=20,n\left(A\right)=12,n\left(B\right)=9,n(A\cap B)=4$, where $U$ is the universal set, $A$ and $B$ are subsets of $U$, then find $n\left(\left(A\cup B\right){}^C\right)$.

If $A^{\text{'}}=\left\{1,2,6\right\}$ and $U=\left\{1,2,3,5,6,7\right\}$. Find $A$ using law of double complementation.

If $A^{\text{'}}=\left\{6,8\right\}$ and $U=\left\{4,5,6,7,8\right\}$. Find $A$ using law of double complementation.

If $A^{\text{'}}=\left\{4,5\right\}$ and $U=\left\{4,5,6,7,8\right\}$. Find $A$ using law of double complementation.

If $A^{\text{'}}=\left\{5,9\right\}$ and $U=\left\{5,6,7,8,9\right\}$. Find $A$ using law of double complementation.

If $A^{\text{'}}=\left\{2,4\right\}$ and $U=\left\{1,2,3,4,5\right\}$. Find $A$ using law of double complementation.

If $\mathrm{U}=\left\{\mathrm{multiples} \mathrm{of} 7 \mathrm{less} \mathrm{than} 50\right\}$ and $\mathrm{A}=\left\{\mathrm{multiples} \mathrm{of} 4 \mathrm{divisible} \mathrm{by} 7 \mathrm{less} \mathrm{than} 50\right\}$ , then find number of elements in $A^{\text{'}}$.

If $A=\left\{a,s,d,f\right\}$ and $A^{\text{'}}=\left\{z,x,c,v,b\right\}$. Find universal set $U$.

If $A=\left\{e,m,b\right\}$ and $A^{\text{'}}=\left\{j,i,o\right\}$. Find universal set $U$.

If $A=\left\{2,3,5,8,9\right\}$ and $A^{\text{'}}=\left\{1,4,6,7,11\right\}$. Find universal set $U$.

If $A=\left\{0,1,2\right\}$ and $A^{\text{'}}=\left\{7,8,9\right\}$. Find universal set $U$.

If $A=\left\{2,3,5\right\}$ and $A^{\text{'}}=\left\{1,4,6\right\}$. Find universal set $U$.

If $\mathrm{U}=\left\{\mathrm{multiples} \mathrm{of} 4 \mathrm{less} \mathrm{than} 18\right\}$ and $\mathrm{A}=\left\{\mathrm{multiples} \mathrm{of} 4 \mathrm{divisible} \mathrm{by} 6 \mathrm{less} \mathrm{than} 18\right\}$ , then find number of elements in $A^{\text{'}}$.

If $\mathrm{U}=\left\{\mathrm{multiples} \mathrm{of} 4 \mathrm{less} \mathrm{than} 25\right\}$ and $\mathrm{A}=\left\{\mathrm{multiples} \mathrm{of} 4 \mathrm{divisible} \mathrm{by} 6 \mathrm{less} \mathrm{than} 25\right\}$ , then find number of elements in $A^{\text{'}}$.

If $\mathrm{U}=\left\{\mathrm{multiples} \mathrm{of} 3 \mathrm{less} \mathrm{than} 25\right\}$ and $\mathrm{A}=\left\{\mathrm{multiples} \mathrm{of} 3 \mathrm{divisible} \mathrm{by} 5 \mathrm{less} \mathrm{than} 25\right\}$ , then find number of elements in $A^{\text{'}}$.

If $\mathrm{U}=\left\{\mathrm{multiples} \mathrm{of} 5 \mathrm{less} \mathrm{than} 25\right\}$ and $\mathrm{A}=\left\{\mathrm{multiples} \mathrm{of} 5 \mathrm{divisible} \mathrm{by} 3 \mathrm{less} \mathrm{than} 25\right\}$ , then find number of elements in $A^{\text{'}}$.

Let $\mathrm{U}=\{a,b,c,d,e,f,g,h\};$ find the complement of the set $\mathrm{C}=\left\{a,c,e,g\right\}$