SET 7

1.  HOW MANY GROUPS ARE THERE?
 DOES EACH GROUP BELONG TO A
GROUP?
 IS THERE AN OBJECT THAT BELONGS
TO MORE THAN ONE GROUP?
WHICH ONE?
THERE ARE 4 GROUPS
YES
YES

3. SET
It is a well-defined group of objects.
These objects are called elements (∈) or members
of the set.
Not element (∈)
Ex. Red ∈ C (read as “red is an element of set C”)
Maroon ∈ C (read as “ maroon is not an element of
C”)

4. A SET OF SILVERWARE

5. A SET OF TIRES FOR A CAR

6. What are these?
A = { 1, 2, 3, . . . }
Set name
- it denotes a
set using a
CAPITAL
LETTER
Elements
-members of
the set
Commas
Separator for
elements
Braces
Used for Enclosing
elements of a set
Ellipsis
It indicates that the
list continues
indefinitely

7. A SET OF WHOLE NUMBERS

8. A SET OF INTEGERS
B ={… -3, -2, -1, 0, 1, 2, 3,
…}

9. SET NOTATIONS
ROSTERMETHOD
By listing its elements between
braces and by using any capital
letter to name it.
Ex. C = { red, blue, green, yellow }

10. WELL-DEFINED SET
Example of a well-defined set
A set of whole numbers up to
A = { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }

11. EXAMPLE OF A NOT WELL-DEFINED SET
1. A set of good books to read.
2. A set of fragrant perfume.
3. A set of enjoyable social networking
sites.
4. The set of nice people in your school
5. The set of female teachers in SSM

12. STATE WHETHER EACH OF THE FOLLOWING
SETS IS WELL-DEFINED OR NOT.
1. The set of multiples of 8.
2. The set of pretty ladies.
3. The set of all large numbers.
4. The set of integers between 0 and 10.
5. The set of intelligent students.

13. IN YOUR BOOK ANSWER
PAGE 3
CHECK YOUR PROGRESS
# 1-3

14. SET NOTATIONS
RULEMETHOD
Ex. P = { 1, 2, 3, 4, . . . }
can also be written as
P = {positive integers},
Which read as “set P whose elements are the positive integers”

15. SET NOTATIONS
SET-BUILDERNOTATION
Ex. P = { 1, 2, 3, 4, . . . }
P = {× × is a positive integer}
Which read as “P is the set of all x, such that x is a
positive integers”

16. IN YOUR BOOK ANSWER
PAGE 4
CHECK YOUR PROGRESS
# 4-5

18. SETS CAN BE :
INFINITE
If it not
possible to list
all the elements
of the set
FINITE
If it can list all
the possible
elements of the
set.

19. EMPTY SET OR NULL SET
If a set has no
elements.
The symbol is ∅ or {}.

20. IN YOUR BOOK ANSWER
PAGE 5
CHECK YOUR PROGRESS
# 7-11

21. CARDINAL NUMBER OR CARDINALITY
It is the total number of elements
in a set.
Represented as n(A), which read
as “n of A”

22. IN YOUR BOOK ANSWER
PAGE 6
CHECK YOUR PROGRESS
# 12-13

23. EQUIVALENT
If they have the same cardinal
number.
EQUAL
If they have exactly the same
elements.