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, using parentheses and brackets to indicate whether endpoints are included or excluded.

Front

How do you represent the inequality x ≤ 6 in interval notation?

Back

The interval notation for x ≤ 6 is (-∞, 6].

Front

How do you represent the inequality x > -9 in interval notation?

Back

The interval notation for x > -9 is (-9, ∞).

Front

What does a closed interval mean in interval notation?

Back

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

Front

What does an open interval mean in interval notation?

Back

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

Front

Convert the interval notation (-∞, 0] to inequality notation.

Back

The inequality notation for (-∞, 0] is x ≤ 0.

Front

What interval notation does the number line graph representing all numbers greater than or equal to -5 use?

Back

The interval notation is [-5, ∞).

Front

When graphing the inequality x < 3, what type of circle is used?

Back

An open circle is used to graph x < 3.

Front

What is the difference between a closed circle and an open circle on a number line?

Back

A closed circle indicates that the endpoint is included (≤ or ≥), while an open circle indicates that the endpoint is not included (< or >).

Front

How would you write the interval notation for all real numbers?

Back

The interval notation for all real numbers is (-∞, ∞).