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 the interval notation (a, b) represent?

Back

The interval notation (a, b) represents all real numbers x such that a < x < b. The endpoints a and b are not included.

Front

What does the interval notation [a, b] represent?

Back

The interval notation [a, b] represents all real numbers x such that a ≤ x ≤ b. The endpoints a and b are included.

Front

What does the interval notation (a, b] represent?

Back

The interval notation (a, b] represents all real numbers x such that a < x ≤ b. The endpoint a is not included, while b is included.

Front

What does the interval notation [a, b) represent?

Back

The interval notation [a, b) represents all real numbers x such that a ≤ x < b. The endpoint a is included, while b is not included.

Front

How do you express x < 8 in interval notation?

Back

In interval notation, x < 8 is expressed as (-∞, 8).

Front

How do you express x > -9 in interval notation?

Back

In interval notation, x > -9 is expressed as (-9, ∞).

Front

Can you use the symbols [ or ] with infinity?

Back

No, you cannot use the symbols [ or ] with infinity in interval notation.

Front

Convert the interval notation (3, 7] to inequality notation.

Back

The interval notation (3, 7] can be converted to inequality notation as 3 < x ≤ 7.

Front

What does the interval notation [-5, ∞) represent?

Back

The interval notation [-5, ∞) represents all real numbers x such that -5 ≤ x. The endpoint -5 is included.