Page 1: Sets and Intervals

The first page introduces fundamental concepts of set theory and intervals in mathematics. It covers the definition of sets, their types, and basic operations between sets.

Definition: A set is a collection of well-defined objects, denoted using capital letters.

Vocabulary:

• Finite sets: Sets with a countable number of elements
• Infinite sets: Sets with unlimited elements
• Empty set: Denoted by Ø, contains no elements

Example: Set operations include:

• Union (A∪B): Combines elements from both sets
• Intersection (A∩B): Contains elements common to both sets
• Difference (A\B): Elements in A that are not in B

Highlight: Intervals can be:

• Open: (a,b)
• Closed: [a,b]
• Half-open: [a,b) or (a,b]