0-1: Set & Interval Notation

Objective:•Review set and interval notation

©2002 Roy L. Gover (roygover@att.net)

Modified Mike Efram (8/23/2004)

This lesson is not in your textbook

DefinitionA set is a collection of objects (sometimes called elements)

Examples•The set of calculus students at Healdsburg High.•The set of real numbers•The set of math teachers who live in Sonoma County

DefinitionA subset is a set consisting of a selection of objects within a set.

Examples•The set of female calculus students at Healdsburg High.•The set of real numbers > 2•The set of math teachers who live in Healdsburg.

Definition

Two kinds of set notation:•Roster notation

•Set builder notation

ExampleRoster notation: the set of whole numbers greater than 20:

21,22,23,24,...A

ExampleRoster notation: the set of whole numbers greater than 20 and less than 25:

21,22,23,24A

Write a subset of set A using roster notation.

Try ThisWrite using roster notation the set F of integers greater than or equal to 12.

12,13,14,...F

ExampleSet Builder notation:the set of integers greater than or equal to 12.

| is an integer and 12F x x x

such that

variable description

Try This

Write using set builder notation the set B of real numbers between 3 and 8. | and 3 8B x x x

element

ExamplesInterval notation:•(3,8) all reals between 3 & 8 (open interval)Be careful, this looks like an ordered pair

ExamplesInterval notation:•[3,8] all reals between 3 & 8 plus 3 plus 8 (closed interval)

ExamplesInterval notation:

What could this mean?

•(3,8]

•[3,8)

Try ThisWrite using interval notation the domain and range of:

( ) 2f x x

Domain:

Range:

2,

0,

What is incorrect about (0, ]?

Lesson CloseInterval and set notation will be used in many of our calculus lessons. You can now express the domain and range of your parent graphs in either notation.

Assignment

Algebra Atrocities

and

Continue work on Portfolio