Using Interval Notation

Tutoring on Using Interval Notation

Learning Objectives:

Understand to use Interval Notation.

Using Interval Notation

 

ASet 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.

 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 < 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 < b.Here (means"not included" or "open" and ] means "included" or "closed".

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?

 

 

Learn Using Interval Notation Online One on One

 

Struggling with Interval Notation? Need help for homework? You are not the only one. Fortunately our experts in Interval Notation are online now and are ready to help.

 

 

 

 

 

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