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 the bracket [ ] signify in interval notation?

Back

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

Front

What does the parenthesis ( ) signify in interval notation?

Back

The parenthesis ( ) signifies that the endpoint is excluded from 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 > 5 into interval notation.

Back

(5, ∞)

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 4, including both endpoints?

Back

[1, 4]

Front

What is the interval notation for the set of numbers between -3 and 2, excluding -3 and including 2?

Back

(-3, 2]

Front

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

Back

The union of two intervals is represented by combining them with the symbol U. For example, [1, 3] U (4, 6) represents the union of the two intervals.

Front

What is the interval notation for x ≤ 0 or x > 2?

Back

(-∞, 0] U (2, ∞)