Intersection, Union, and Difference of Sets
Big Idea: Sets are collections of distinct objects. The three fundamental operations — union, intersection, and difference — allow us to combine, compare, and contrast sets in powerful ways. These operations form the backbone of logic, probability, database queries, and much of modern mathematics.
📌 Prerequisite: Set Notation Refresher
A set is a well-defined collection of distinct elements, written inside curly braces. For example:
$A = \{1, 2, 3, 4, 5\}$ $B = \{3, 4, 5, 6, 7\}$
The Universal Set $U$ contains all elements under consideration. Elements are denoted with $\in$ (belongs to) and $\notin$ (does not belong to).