Interval Notation

Front

What is interval notation?

Back

Interval notation is a mathematical notation used to represent a range of values on the number line. It uses brackets and parentheses to indicate whether endpoints are included or excluded.

Front

What does a square bracket [ ] indicate in interval notation?

Back

A square bracket [ ] indicates that the endpoint is included in the interval.

Front

What does a parenthesis ( ) indicate in interval notation?

Back

A parenthesis ( ) indicates that the endpoint is not included in the interval.

Front

How is the interval notation for all real numbers represented?

Back

The interval notation for all real numbers is represented as (-∞, ∞).

Front

What is the interval notation for the range [-3, 1)?

Back

The interval notation [-3, 1) represents all numbers from -3 to 1, including -3 but not including 1.

Front

How do you express the range of a function that starts at a number and goes to infinity?

Back

The range can be expressed in interval notation as [a, ∞) where 'a' is the starting number.

Front

What is the interval notation for the range [-15, ∞)?

Back

The interval notation [-15, ∞) represents all numbers from -15 to infinity, including -15.

Front

What is the interval notation for the range [-1, ∞)?

Back

The interval notation [-1, ∞) represents all numbers from -1 to infinity, including -1.

Front

How do you denote an interval that starts at 0 and goes to infinity?

Back

The interval is denoted as [0, ∞) in interval notation.

Front

What is the difference between closed and open intervals?

Back

Closed intervals include their endpoints (using square brackets), while open intervals do not include their endpoints (using parentheses).