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```MATH 7
Virtual Class
Are you excited for a fun
learning session?
ATTENDANCE
Is everyone present today?
Observe our
VIRTUAL
CLASSROOM RULES
Be on Time!
Dress appropriately.
Mute yourself except when
you are permitted to speak.
for permission to speak.
for attendance purposes.
Avoid distracting backgrounds
or actions.
Encourage each other with
appropriate response emojis.
INTRODUCTION TO
What
you will learned;
SET
 Basic concepts of sets.
 Kind of sets and Cardinality of
sets.
 Operation on sets
What is SETS?
A SET is a collection of well-defined
distinct objects or things.
Distinct means that elements should not be
repeated.
Elements the objects or things in the collection.
Normally, sets are denoted by CAPITAL
LETTERS.
EXAMPLE
A = {1, 2, 3, 4, 5 }
C = { l, o, v, e }
B = {1, 3, 5, …}
D = { c, a, r, e }
F = {x │ x ( this is read as set of x such that x) is a
positive number less than 6}
G = {y│ y is a letter from the alphabet}
H = {d │d is a number greater than 8}
There are two ways of describing a set.
 Listing/Roster method, in this form, we
enumerate or list all the element.
A variation of the simple roster method
uses the ELLIPSIS ( … ) when the pattern is
obvious and the set is large.
{1, 3, 5, 7, … , 9007} is the set of odd counting numbers less
than or equal to 9007.
{1, 2, 3, … } is the set of all counting numbers.
Listing/Roster method
Examples
1) A is a set of whole numbers less than 6.
A = { 0,1,2,3,4,5}
2) C is the set of letters in the
word excellent.
C = { e, x, c, l, n, t }
There are two ways of describing a set.
 Set-builder form ( Rule method) in
this method , we specify the rule or
property or statement.
Note: A = { x | x has a property of p}
This is read as A is the set of
elements x such that( | ) x has a
property p.
Set-builder form ( Rule method)
Example : A = { 2,4,6,8,10,12}
Solution :
In set A all the elements are even natural number
up to 12.So this is the rule for the set A
So set builder notation will be
A = { x | x is an even natural number, x ≤ 12}
 Set-builder form ( Rule method)
Example : K = { 10,11,12,13}
Solution :
In set K all the elements are numbers between 9
to 14 .So this is the rule for the set K
So set builder notation will be
K = { c │c are numbers between 9 to 14 }
How can you express the following in rule form
1. I = { 7, 8, 9, 10, 11, 12, 13, 14 }
I = {a | a are positive whole numbers
from 7 to 14}
How can you express the following in rule form
2. J = { m, a, t, h}
J = {b | b are letters of the word
math}
How can you express the following in rule form
3. L = {45, 46, 47, …}
L = {d | d are positive whole
numbers greater than 44}
How can you express the following in rule form
4. M = { 2, 1, 0, -1 ... }
M = {e | e are integer numbers
less than 3}
Practice Time
How can you express the following in rule form
into the roster method.
Rule Form
Roster Method
A ={x I x is an even number less
than 12 }
A = { 0, 2, 4, 6, 8,10}
F = { x I x is a vowel }
F = {a, e, i, o, u }
K = { x I x is an odd number greater
than 10 }
K = {11, 13, 15, 17,...}
```