Represent the following in venn diagram:

$C$ and $D$ are disjoint sets.

Represent the following in venn diagram:

$E\text{'}$ is the complement of $E$ in $U$.

Let $\mathrm{A}=\left\{2, 3, 5, 6\right\}$ and $B=\left\{1, 3, 4, 6\right\}$. Find $A\cup B, A\cap B. A-B, B-A$. Show that $\left(A-B\right)\cup \left(A\cap B\right)=A$.

Find union of the following pair of sets:

$\mathrm{A}=\left\{a, e, i, o, u\right\}$ and $B=\left\{a, b, d, e\right\}$.

Find union of the following pair of sets:

$\mathrm{A}=\left\{\mathrm{x}: \mathrm{x} \mathrm{is} \mathrm{a} \mathrm{natural} \mathrm{number} \mathrm{and} \mathrm{multiple} \mathrm{of} 5\right\}$ and $\mathrm{B}=\left\{\mathrm{x}: \mathrm{x} \mathrm{is} \mathrm{a} \mathrm{natural} \mathrm{number}\le 8\right\}$.

Find union of the following pair of sets:

$\mathrm{A}=\left\{\mathrm{x}: \mathrm{x}\in \mathrm{N} \mathrm{and} 2<\mathrm{x}\le 7\right\}$ and $\mathrm{B}=\left\{\mathrm{x}: \mathrm{x}\in \mathrm{N} \mathrm{and} 7<\mathrm{x}\le 11\right\}$.

Find union of the following pair of sets:

$\mathrm{A}=\left\{a, i, e, u\right\}$ and $B=\varphi$.

Find union of the following pair of sets:

$\mathrm{A}=\left\{\mathrm{x}: \mathrm{x} \mathrm{is} \mathrm{an} \mathrm{integer} \le 6\right\}$ and $B=\left\{\mathrm{x}: \mathrm{x} \mathrm{is} \mathrm{an} \mathrm{integer}\ge 4\right\}$.

Let $\mathrm{A}=\left\{a, b, i\right\}$ and $B=\left\{a, i, b, c\right\}$. Is $A\subset B$? What is $A\cup B$? Prove that $A\cap B=A$ and $A\cup B=B$.