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?



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