1. Students will identify sets of numbers using
symbols and set builder notation.

2.  Set A collection of objects that have
certain common features
 Roster Notation Complete listing of all elements of a
set
 Set Builder Notation Describes by stating the properties
that each member of the set must
satisfy
  is an element of the set
  is not an element of the
set
 such that
 ... called an ellipsis, indicates an
omission of numbers

3. Given the set A = {2,4,5,8,10,15}.
1) Describe what type of notation is used.
Roster Notation
2) Determine the correct symbol (∈ or ∉) to
describe:

6 ____ A
3) Determine the correct symbol (∈ or ∉) to
describe:

8 ____ A

4. Describe the following set using set builder
notation:
1) the set of real numbers more than -4.
{x x  ℝ, x> -4}
1) The set of integers between -2 and 14.
{x x  of integers, -2 < x< 14}

5. Set Examples Symbol for Set
•ℝ = {x x corresponds
Real Numbers to a number on the ℝ
number line}
Natural Numbers •N = {1, 2, 3, 4, 5…} N
Whole Numbers •W = {0, 1, 2, 3, 4…} W
Integers •ℤ = {…-2, -1, 0, 1, 2…} ℤ
•Q = {a/b, a and b  Z
Rational Numbers and b ≠ 0}
Q
Irrational
•I = {x x ℝ, x  Q } I
Numbers

6.  Classifying Real Numbers