Venn Diagram 76B50B
1. The problem asks to draw a Venn diagram for three sets $A$, $B$, and $C$ with the following conditions:
- $A \subseteq B$ (set $A$ is a subset of set $B$)
- $A$ and $C$ are disjoint (no elements in common)
- $B$ and $C$ have some elements in common (overlap)
2. Important rules for Venn diagrams:
- A subset means the entire circle of $A$ must be inside the circle of $B$.
- Disjoint sets have no overlapping area.
- Overlapping sets share some common area.
3. To satisfy $A \subseteq B$, draw circle $A$ completely inside circle $B$.
4. To show $A$ and $C$ are disjoint, place circle $C$ so it does not overlap with $A$ at all.
5. To show $B$ and $C$ have common elements, position circle $C$ so it partially overlaps with circle $B$.
6. The final Venn diagram has:
- Circle $A$ fully inside circle $B$.
- Circle $C$ overlapping with $B$ but not touching $A$.
This arrangement visually represents all the given set relations correctly.