SubsetA set contained within another set is called a
SUBSET!
Set
Subset
The Real Number SystemThe Real Number System is separated into two parts:
Rational Rational NumbersNumbers•A subset of the Real Number System where numbers either:
– Terminate (end),– Repeat or– Can be written as
a fraction•Examples: 5.34, 45%, 0.131313..., 2/3, 9
The Real Number SystemRational Numbers Irrational
Numbers5.34 45%
0.131313…
9
0.101101110…
The Real Number SystemContinuedIntegers:
A subset of Rational Numbers that includes only positive and negative whole numbers.
Examples: {…-3, -2, -1, 0, 1, 2, 3, …}
The Real Number SystemRational Numbers Irrational
Numbers
Integers
5.34 45%
0.131313…
9
0.101101110…
-212-4
12-1
2
0
The Real Number SystemContinuedWhole Numbers:
A subset of Integers that includes only positive numbers and zero
Examples: {0, 1, 2, 3, …}
The Real Number SystemRational Numbers Irrational
Numbers
Integers
Whole Numbers
5.34 45%
0.131313…
90.101101110…
-212-4
12 -1
2
0
The Real Number SystemContinuedNatural Numbers (Counting
Numbers): A subset of Whole Numbers that
includes only the ‘counting numbers’ starting at 1
Examples: {1, 2, 3, …}
The Real Number SystemRational Numbers Irrational
Numbers
Integers
Whole Numbers
5.34 45%
0.131313…
Natural Numbers9
0.101101110…
-212-4
12 -1
2
0
SubsetSet B is a subset of Set
A.Every item in Set B is
also part of Set A.
Examples:A: Solar SystemB: Planets
Every planet is in the solar system, but not everything in the solar system is a planet.
Set A
Set B
Distinct SetsSets A and B have no elements in common.
Examples:A: WMS TeachersB: WMS Students
There are no WMS Teachers who are WMS students and vice versa.
Remember: We are talking about things in the sets, not characteristics of the sets.
Set A
Set B
Which Venn Diagram matches?Set 1: TV StarSet 2: Movie Star
.
B.
C.
A.
D.
Which Venn Diagram matches?Set 1: MammalsSet 2: Reptiles
.
B.
C.
A.
D.
Which Venn Diagram matches?Set 1: MammalsSet 2: Bears
.
B.
C.
A.
D.
Which Venn Diagram matches?Set 1: PopSet 2: Beverages
.
B.
C.
A.
D.
Which Venn Diagram matches?Set 1: Jazz Set 2: Music
.
B.
C.
A.
D.
Which Venn Diagram matches?Set 1: BearsSet 2: Mice
.
B.
C.
A.
D.
Which Venn Diagram matches?Set 1: FishSet 2: Guppies
.
B.
C.
A.
D.
Which Venn Diagram matches?Set 1: HuskiesSet 2: Dogs
.
B.
C.
A.
D.
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