Learning Objectives:

__Using Interval Notation __

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A**Set** is a collection of **unique elements**. Set can be described in many ways: by **interval notation, **by** set builder notation, **by** graphing on a number line, **by** roster **or by** Venn diagram.**

** **A **Roster**** **is a list of the elements in a set, separated by commas and surrounded by French curly braces.**{1, 2, 3, 4 }**is a roster for the set of integers from **1 **to** 4**, inclusive.

An **Interval Notation** is consisting of all the numbers between two numbers.

**Open Interval: ( a, b) is interpreted as a < x <b,Closed Interval: [a, b] is interpreted as a < x < b,Half-Open Interval: (a, b] is interpreted as a < x < b ,**

**Non-ending Interval: (a, ∞) is interpreted as x > a, or (-∞, b] is interpreted as x < b.**Here

The **Set BuilderNotation** can be used to build or describe a set. This is especially helpful if the set has an infinite number of numbers or elements.

A **Venn diagram** is a diagram which represents mathematical or logical sets pictorially as circles within a rectangle.

**Hook Questions**

*1. **What is a **Roster in set theory?*

*2. **What is meant by Interval notation?*

*3. **What is Set Builder notation?*

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