Interval Notation 2

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 (-∞, -2) U (5, ∞) represent?

Back

This notation represents the union of two intervals: all numbers less than -2 and all numbers greater than 5.

Front

How do you express the interval [-2, 5] in set notation?

Back

In set notation, [-2, 5] is expressed as: -2 ≤ x ≤ 5.

Front

What does the bracket [ ] signify in interval notation?

Back

The bracket [ ] indicates that the endpoint is included in the interval.

Front

What does the parenthesis ( ) signify in interval notation?

Back

The parenthesis ( ) indicates that the endpoint is not included in the interval.

Front

How would you write the inequality x > 6 and x ≤ 10 in interval notation?

Back

In interval notation, this is written as (6, 10].

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints (using parentheses), while closed intervals do include their endpoints (using brackets).

Front

Express the interval (-8, 8) in set notation.

Back

In set notation, (-8, 8) is expressed as: -8 < x < 8.

Front

What is the union of two intervals?

Back

The union of two intervals combines all the values from both intervals, represented by the symbol U.

Front

How do you express the interval (-7, 15] in set notation?

Back

In set notation, (-7, 15] is expressed as: -7 < x ≤ 15.