1. The problem is to draw and explain sets $A$ and $B$ with an example, not in a general way. 2. Let’s use a simple example with numbers: $$A=\{1,2,3\}$$ $$B=\{3,4,5\}$$ 3. A set is just a collection of distinct items. The elements in $A$ are $1,2,3$. The elements in $B$ are $3,4,5$. 4. To show the two sets visually, we can draw two overlapping circles. The overlap contains the common element $3$. The left-only part contains $1$ and $2$. The right-only part contains $4$ and $5$. 5. This means: $$A\cap B=\{3\}$$ $$A\cup B=\{1,2,3,4,5\}$$ 6. Final answer: an example of sets $A$ and $B$ is $A=\{1,2,3\}$ and $B=\{3,4,5\}$, with the shared element $3$ in the overlap.