1. A set is a collection of objects called elements.
Objective- To recognize different sets of numbers and to identify a domain.
What is a set ?
A set is a collection of objects called elements.
Living Things
Bacteria
Plants
Animals
Tree
Diagram
Mammals
Reptiles
Fish
Whales
Humans
Horses
Mr. Peterson
Brittany Spears

2. Venn Diagram Quadrilaterals Trapezoids Parallelograms Rhombuses
Squares
Rectangles

3. …-3, -2, -1, 0, 1, 2, 3... …-3, -2, -1 Sets of Numbers Reals Rationals
Irrationals
- any number which
can be written as a
fraction.
- non-terminating
and
non-repeating
decimals
, 7, -0.4
Fractions/Decimals
Integers
, -0.32, - 2.1
…-3, -2, -1, 0, 1, 2, 3...
Negative Integers
Wholes
…-3, -2, -1
0, 1, 2, 3...
Zero
Naturals
1, 2, 3...

4. Reals Make a Venn Diagram that displays the following sets of numbers:
Reals, Rationals, Irrationals, Integers, Wholes, and Naturals.
Reals
Rationals
-2.65
Integers -3
-19
Wholes
Irrationals
Naturals
1, 2, 3...

5. Reals Imaginary Numbers Rationals -2.65 Integers -3 -19 Wholes
Irrationals
Naturals
1, 2, 3...

6. Rule- the square root of any negative
number will yield “No Real Solution”

7. Identify all of the sets to which each number belongs.
(Reals, Rationals, Irrationals, Integers, Wholes, Naturals)
1) -6
Integer, Rational, Real 2)
Rational, Real
3) 14
Natural, Whole, Integer, Rational, Real
4) 6
Irrational, Real

8. Closure Property A set of numbers is said to be ‘closed’ if
the numbers produced under a given operation
are also elements of the set.
The set of Whole numbers are closed under
which operations?
1) Addition
Closed
3) Multiplication
5 + 7 = 12
Closed
6 + 0 = 6
2) Subtraction
Not Closed
4) Division
5 - 7 = -2
Not Closed

9. Closure Property A set of numbers is said to be ‘closed’ if
the numbers produced under a given operation
are also elements of the set.
The set of Integers are closed under which
operations?
1) Addition
Closed
3) Multiplication
= -2
Closed
= 4
2) Subtraction
Closed
4) Division
= 12
Not Closed

10. Domain- the set of values which may be
meaningfully substituted for a given variable.
Which set of numbers would best describe the variable?
1) Let x = the number of people at a meeting.
D: x Naturals
“ is a member of ”
2) Let y = your weight
D: y Positive Reals
3) Let t = the low temperature in Alaska yesterday
D: t Reals
4) Let n = the low recorded temperature in Alaska.
D: n Integers

11. Graph t < 3 over the given domain.
1) D: Reals
2) D: Integers
3) D: Wholes