Sets - ProvidenceGirls

Welcome
to
Form 4 Mathematics
Topic for the day
SETS
SETS
 Definition:
items

A set is a collection of
EXAMPLES OF SETS
a set of letters of the alphabet
 A set of numbers from 1-20
 A set of colours

• Types of sets
• 1. Finite sets
• A finite set is a set where it is possible to list all
the members .
• 2. Infinite sets
• An infinite set is a set where it is impossible to
list all the members of the set
• SET NOTATION
• The symbol { } means “the set of”
• The set of boys names John, James
and Tom
• { John, James Tom }
• The set of odd numbers from 1-10
• { 1,3,5,7,9 }
• Venn Diagram
• A Venn Diagram is a graphical
representation of the elements in the set
U
A
B
• The rectangle represents the universal set
denoted by: ξ, U, E
ξ
ξ
B
B
A
A
Disjointed sets
B is a subset of A
ξ
ξ
B
A
B
B’
Intersection of A and B
B complement or B’
• Labeling the parts of a set in a venn
diagram
U
A ONLY
A and B
only
B ONLY
B
A
• Q1.
•
• In a class of 30 students,
• 17 students do Maths,
• 23 students do English
• X students do Math and English only
• (i) Draw a venn diagram to represent
the information above.
(ii) Write an equation to represent the total number of students in
the class
(iii) Determine the number of students who do both subjects
• Labeling the parts of a set in a venn
diagram
U = 30 students
M ONLY
M and E
only
E ONLY
E
M
17 - X
X
23 - X
30 = (17 – x) + x +( 23 – x)