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 parentheses and brackets 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

Convert the inequality x > 3 into interval notation.

Back

(3, ∞)

Front

Convert the inequality x ≤ -2 into interval notation.

Back

(-∞, -2]

Front

What is the interval notation for the set of numbers between -1 and 2, including -1 but not 2?

Back

[-1, 2)

Front

Express the interval notation for the set of numbers greater than or equal to 5 and less than 10.

Back

[5, 10)

Front

How do you express the union of two intervals in interval notation?

Back

The union of two intervals is expressed by combining them with a 'U'. For example, (1, 3) U (4, 6) represents the numbers in either interval.

Front

What is the interval notation for the solution to the inequality -3 < x < 4?

Back

(-3, 4)