Interval Notation Practice

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 a is not included but b is included.

Front

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

Back

The notation [-∞, b) represents all real numbers less than b, including b.

Front

What does the notation (a, ∞) represent?

Back

The notation (a, ∞) represents all real numbers greater than a, excluding a.

Front

How do you express the interval [3, 5] as an inequality?

Back

3 ≤ x ≤ 5

Front

Can you use the symbols [ or ] with infinity?

Back

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

Front

Write the interval notation for x < 8.

Back

(-∞, 8)

Front

Write the interval notation for x > -9.

Back

(-9, ∞)