Transcript 1-1 Sets of Numbers

1-1 Sets of Numbers
Lesson Objective:
Classify and order real numbers.
Set -
A collection of items
Items in a set.
Element -
Subset -
A set whose elements all belong to another set.
Empty Set -
Denoted by Ø, is a set containing no elements.
Roster Notation - When the elements of a set are listed
between braces, { }.
Finite Set- Has a definite, or finite, number of elements.
Infinite Set - Has an unlimited, or infinite, number of
elements.
Interval Notation –
A method of describing an interval by
specifying all number between two
endpoints using the symbols [ and ] to
include an endpoint and ( and ) to exclude
the endpoint.
Set-Builder Notation – A method of describing a set by using the
properties of the elements of the set.
Real Numbers
Rational Numbers
Integers
Whole Numbers
Natural
Numbers
Irrational Numbers
WORDS
NUMBER LINE INEQUALITY
INTERVAL
NOTATION
Numbers less
than 3
Numbers
greater than
or equal to -2
Numbers
between 2 and
4
Numbers 1
through 3
WORDS
All real
numbers
except 1
Positive odd
Numbers
Numbers
within 3 units
of 2
ROSTER
INTERVAL
SET-BUILDER
NOTATION
NOTATION
NOTATION
WORDS
ROSTER
NOTATION
1, 2, 3, 4, and 5
2  n  2
Whole numbers
less than 3
INTERVAL
NOTATION
SET-BUILDER
NOTATION
-5
1. Consider the numbers .6, 2, 0, 2 , .5129
a. Order the numbers from least to greatest.
b. Classify each number by the subset of real numbers to
which it belongs.
2. Use the interval notation to represent each set of numbers
a.
b.
4x6
3. Translating between Methods of Set Notation
Re-write each set in the indicated notation
a.
 x x  2n and n  ; words
b. Numbers and symbols on a telephone keypad; roster
notation
c.
; set-builder notation