Disjoint Sets
1. **Problem Statement:**
Represent the information that sets P and Q are two disjoint sets in a universal set using a Venn diagram.
2. **Understanding the Problem:**
Two sets are disjoint if they have no elements in common, i.e., their intersection is empty: $$P \cap Q = \emptyset$$.
3. **Formula and Rules:**
- Universal set: $$U$$ contains all elements under consideration.
- Disjoint sets: $$P \cap Q = \emptyset$$ means no overlap.
4. **Representation:**
- Draw a rectangle to represent the universal set $$U$$.
- Inside the rectangle, draw two circles labeled $$P$$ and $$Q$$ that do not overlap.
5. **Explanation:**
Since $$P$$ and $$Q$$ are disjoint, their circles do not intersect.
All elements of $$P$$ and $$Q$$ lie inside $$U$$ but separately.
Final answer: The Venn diagram shows two non-overlapping circles inside a rectangle representing $$U$$.