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, indicating the lower and upper bounds of the interval.

Front

How do you represent the interval of all numbers less than 8 in interval notation?

Back

(-∞, 8)

Front

How do you represent the interval of all numbers greater than or equal to 100 in interval notation?

Back

[100, ∞)

Front

What does an open interval mean in interval notation?

Back

An open interval means that the endpoints are not included in the interval, represented by parentheses ( ).

Front

What does a closed interval mean in interval notation?

Back

A closed interval means that the endpoints are included in the interval, represented by brackets [ ].

Front

Can you use the symbols [ or ] with infinity in interval notation?

Back

No, you cannot use [ or ] with infinity; infinity is always represented with parentheses ( ).

Front

When graphing x < 6, would you use an open or closed circle?

Back

Open circle.

Front

When graphing x ≤ 6, would you use an open or closed circle?

Back

Closed circle.

Front

What is the interval notation for the set of all real numbers between 2 and 5, including 2 but not 5?

Back

[2, 5)

Front

What is the interval notation for the set of all real numbers greater than 3 and less than or equal to 7?

Back

(3, 7]