4.4: Number Lines and Interval Notation

Front

What is interval notation?

Back

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

Front

What does the bracket [ ] signify in interval notation?

Back

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

Front

What does the parenthesis ( ) signify in interval notation?

Back

The parenthesis ( ) indicates that the endpoint is excluded from the interval.

Front

How would you represent the interval from -2 to positive infinity, excluding -2?

Back

The interval is represented as (-2, +∞).

Front

How would you represent the interval from -5 to positive infinity, including -5?

Back

The interval is represented as [-5, +∞).

Front

How would you represent the interval from negative infinity to 5, excluding 5?

Back

The interval is represented as (-∞, 5).

Front

How would you represent the interval from negative infinity to 1, including 1?

Back

The interval is represented as (-∞, 1].

Front

What is the difference between the intervals (-2, +∞) and [-2, +∞)?

Back

(-2, +∞) excludes -2, while [-2, +∞) includes -2.

Front

How do you represent the entire set of real numbers in interval notation?

Back

The entire set of real numbers is represented as (-∞, +∞).

Front

What is the interval notation for the solution set of x < 5?

Back

The interval notation is (-∞, 5).