Sets Introduction
1. Let's start by understanding what a set is: a collection of distinct objects or elements.
2. Sets are usually denoted by capital letters, e.g., $A$, $B$, and their elements are listed inside curly braces, e.g., $A = \{1, 2, 3\}$.
3. We can perform operations like union ($A \cup B$), intersection ($A \cap B$), and difference ($A - B$) on sets.
4. For example, if $A = \{1, 2, 3\}$ and $B = \{2, 3, 4\}$, then:
- Union: $A \cup B = \{1, 2, 3, 4\}$
- Intersection: $A \cap B = \{2, 3\}$
- Difference: $A - B = \{1\}$
5. Sets help organize and understand collections of objects and their relationships.