Subjects set theory

Venn Diagram 76B50B

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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.