Download Section 0.1

0-1: Set & Interval Notation
Objective:
•Review set and interval
notation
This lesson is not
in your textbook
©2002 Roy L. Gover ([email protected])
Modified Mike Efram (8/23/2004)
Definition
A 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
Definition
A 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
Example
Roster notation: the set of
whole numbers greater than
20:
A  21, 22, 23, 24,...
Example
Roster notation: the set of
whole numbers greater than
20 and less than 25:
A  21, 22, 23, 24
Write a subset of set A
using roster notation.
Try This
Write using roster notation
the set F of integers greater
than or equal to 12.
F  12,13,14,...
Example
Set Builder notation:the set
of integers greater than or
equal to 12.
variable
description
F  x|x is an integer and x  12
such that
Try This
Write using set builder
notation the set B of real
numbers between 3 and 8.
B  x | x  and 3  x  8
element
Examples
Interval notation:
•(3,8) all reals between 3
& 8 (open interval)
Be careful, this looks
like an ordered pair
Examples
Interval notation:
•[3,8] all reals between 3
& 8 plus 3 plus 8 (closed
interval)
Examples
Interval notation:
What could this mean?
•(3,8]
•[3,8)
Try This
Write using
Domain:
interval

2,


notation the
domain and
Range:
range of:

f ( x)  x  2
0,

What is incorrect
about (0,  ]?
Lesson Close
Interval 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