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 notation (a, b) represent?

Back

The notation (a, b) represents an open interval, meaning that the endpoints a and b are not included in the interval.

Front

What does the notation [a, b] represent?

Back

The notation [a, b] represents a closed interval, meaning that the endpoints a and b are included in the interval.

Front

What does the notation (a, b] represent?

Back

The notation (a, b] represents a half-open interval, meaning that the endpoint a is not included, while b is included.

Front

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

Back

The notation [-a, b) represents a half-open interval, meaning that the endpoint -a is included, while b is not included.

Front

Convert the inequality x > -9 into interval notation.

Back

(-9, ∞)

Front

Convert the inequality x ≥ 100 into interval notation.

Back

[100, ∞)

Front

What interval notation corresponds to the inequality -1 < x < 4?

Back

(-1, 4)

Front

Which graph corresponds to the interval notation [-2, 5]?

Back

Graph 4.

Front

Convert the inequality x < -4 into interval notation.

Back

(-∞, -4)