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0-1: Set & Interval Notation
Objective:•Review set and interval notation
©2002 Roy L. Gover ([email protected])
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
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