Topic-Gr7-Sets

2. • STAR CITY
• SKY RANCH
AMUSEMENT PARK
• BORACAY
• ENCHANTED KINGDOM
• DISNEYLAND

3. SETS

4. OBJECTIVES:
Describe and Illustrate:
•Well defined sets:
•Subsets:
•Universal sets:
•Null set:
•Cardinality of set.

6. A set is a collection of objects, things or
symbols which are clearly defined.
The groups are called sets for as long as
the objects in the group share a
characteristic and are thus, well defined.

7. The sets are;
1.Set of school supplies
2. Set of gadgets
3. Set of things worn by
girls
4. Set of things worn by
boys

8. The individual objects in a set are called
the members or elements of the set.
The symbol “ ∈ ” is used to indicate that
an object is an element or member of the
set.

9. Example:
three of the elements in
set 1 belong to a set of
school supplies (ruler,
ballpen, and notebook).

10. When we define a set, if we take pieces of that
set, we can form what is called a subset.
For example, we have the set of number
{1,2,3,4,5}.
Subset of numbers = {1,2,3,}, {3,4}, {2,3,5} or { 1 }.
Not a Subset {1,6}
A symbol for subset is ⊆

11. The universal set is the set that contains
all objects or elements under
consideration.
Symbol, U
At the start, “objects” is our universal set.
For example, we have the set of number
{1,2,3,4,5}.

12. The null set is an empty set.
Example: If H is the set of boys in an
exclusive school for girls, then H is called
empty set since there were no boys in that
school.
The null set is a subset of any set.
The symbol ∅ or { } will be used to refer
to an empty set or null set.

13. The cardinality of a set is the number of
elements contained in that set.
The cardinality of a set A is written as n(A).

14. Example:
In the objects given, the
cardinality of set of
gadget is 3, set of
things worn by boys is
2.

16. •A set is a well-defined collection of distinct
objects.
•The objects in a set are called the elements
or members of the set.
•Capital letters A,B,C,… usually denote sets.
•Lowercase letters a,b,c,… denote the
elements of a set.

17. Roster form – a form of writing sets in which the elements
or separated with commas and enclosed by braces
Ex. Set A consists of the School Subject {Math, Science,
Filipino, English, AP, Mapeh, EspTle}
Rule form – a set is defined by stating the property or
properties that describes the elements of the set.
Ex. A = {x | x is consist of the school subjects}

22. Union and Intersection of sets may be represented
using Venn Diagrams.
These are diagrams that make use of geometric
shapes to show relationships
between shapes

23. Union of Sets
The union of two sets is
everything that is contained
within the two circles joined
together.
It is the combined total of
the two sets, where each
item is only listed once.

24. { Two Legged Animals } Union { Water Animals } =
{ Fish, Eels, Platypus, Penguins, Eagles, Bats }
Union is often written using a big “U” symbol, or the word “OR”

25. Intersection of Sets
The intersection of two
sets are those elements
that belong to both sets.
Thus, the intersection of
sets A and B , written as A
∩ 𝑩, is a set of elements
that are members of both
A and B.

26. E = Everything = { Fish, Eels, Platypus, Penguins, Eagles, Bats }
Water Animals = { Fish, Eels, Platypus, Penguins }
Two Legged Animals = { Eagles, Bats, Penguins }

27. SETA
Students who has InstagramAccount
AngelValdez
Rachel Dy
StephTorres
Cherry Cruz
SET B
Students who hasTwitter Account
John Angon
Cherry Cruz
AngelValdez
Phil Reyes
FIND:
1. A ∩ B
2. A U B
3. Place the elements of
these sets in the
proper locations in the
givenVenn diagram

28. Given:
A = {a,e,i,o,u}
B = {a,b,c,d,e}
Find:
1. A ∩ B
2. A U B
3. Place the elements of these sets in the
proper locations in the givenVenn diagram