Questions and Answers
Intervals are always written _____
left to right, smallest to biggest
[a, b] means ____ and is called ____ and endpoints are _____
{a (less than or equal to) x (less than or equal to) b}, closed interval, included
(a, b) means ____ and is called ____ and endpoints are _____
{a < x < b}, open interval, not included
[a, b) means ____ and is called ____
Signup and view all the answers
Unbounded intervals: x (less than or equal to) 5 --> _____
Signup and view all the answers
_____ replaces V (or) and _____ replaces ^ (and) when writing _______
Signup and view all the answers
Study Notes
Interval Notation Basics
- Intervals are expressed left to right, from smallest to largest value.
Types of Intervals
- Closed interval [a, b]: Includes endpoints; defined as {a ≤ x ≤ b}.
- Open interval (a, b): Does not include endpoints; defined as {a < x < b}.
- Half-open interval [a, b): Includes the left endpoint but not the right; defined as {a ≤ x < b}.
Unbounded Intervals
- An unbounded interval such as x ≤ 5 is represented as [5, ∞).
Set Operations in Intervals
- Union (U) is used to denote "or" between intervals.
- Intersection (∩, upside down U) is used to denote "and" between intervals.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of interval notation with these flashcards from Algebra 2. Each card provides a definition or explanation of different interval types such as closed or open intervals. Perfect for improving your grasp on mathematical concepts related to intervals.