# Set-Builder and Interval Notation Worksheets

What Is Interval Notation? We use various ways to simplify the information provided in a mathematical problem. One of the effective ways is the interval notation. To write interval notation, we express a set of real numbers with a starting point and an endpoint written within parenthesis or brackets. in other words, interval notation is used t write the subsets of real numbers. Before writing an interval notation, we need to understand two things. First, we have to determine the endpoints of the interval. These endpoints are the numbers written one point to another. Endpoints can be positive infinity, negative infinity or a number. The next thing that you need to understand is knowing the type of interval you have. In a closed interval, endpoints are written and included in the interval. It is expressed in the form below, [a, b]. However, in an open interval, both the endpoints are not included in the interval. It is expressed in the format shown below where b and c are the endpoints. [b, c). The parenthesis present at the one end shows an open interval. That means endpoint 'c' is not included in the interval. The bracket written on one end indicates a closed interval that means that the endpoint 'b' is included in the interval.

• ### Basic Lesson

Demonstrates how to build a set and read interval notation.

• ### Intermediate Lesson

Explores how to determine the difference between two sets. "x is between -3 and 0, where 0 is included but negative three is not included" Write given statement in an interval notation. "[" means "included" or "closed" "(" means "not included" or "open" The given statement can be written as: (-3,0]

• ### Independent Practice 1

Rewrite the number line using set-builder and/or interval notation. The answers can be found below.

• ### Independent Practice 2

"All numbers between positive two and positive six, including the two and the six" Write a statement of given situation.

• ### Homework Worksheet

Set-Builder and Interval Notation problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 Set-Builder and Interval Notation problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Mixing the Masters

What do you get when you combine the Einstein and Pytahgoras discoveries?
Answer: E c c2 = m(a2 + b2).