The document discusses sets and Venn diagrams. It provides examples of sets representing students' favorite subjects and animals that can be categorized as water animals or two-legged animals. It explains that the intersection of sets contains elements that are common to both sets, while the union of sets contains all unique elements of both sets. An example Venn diagram shows the intersection and union of sets A and B. Questions are provided about representing sets using Venn diagrams and calculating unions and intersections of given sets.

2. FAVORITE SUBJECTS
Ana and Jay are talking about their favorite subjects
I like Science, Math
and English subjects.
What about you?
Well for me Math,
Science and MAPEH
are my favorites.
1. If we will combine all their
favorite subjects, what are
they?
2. Is there a subject that they
both like? What is this?
3. Do you have your favorite
subjects too?

3. Given the pictures below, answer the
following questions:
A B

4. 1. Which of the following shows the
combination of set A and set B? How
many elements are there ?
A B C

5. 2. What element/s contain/s in
both A and B. How many
element/s is/are there?
A B C

6. a. How will you
describe the given
diagram?
b. How many sets are
there? What are their
elements?
c. Is there a common
element/animal in both
sets?

7. 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

8. INTERSECTION OF SETS
•Universal set of Animals:
E = Everything = { Fish, Eels, Platypus,
Penguins, Eagles, Bats }
•We are going to use a Venn diagram to divide
these animals into the following two sets:
“Water Animals” and “Two Legged Animals” .

9. INTERSECTION OF SETS
•When we do this, we find that Penguins belong in
both groups:
E = Everything = { Fish, Eels, Platypus, Penguins,
Eagles, Bats }
•Water Animals = { Fish, Eels, Platypus, Penguins }
•Two Legged Animals = { Eagles, Bats, Penguins }

10. This means that on our Venn diagram, we will
need to have two overlapping circles, so that we
can put penguins inside both circles.

11. 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.

12. UNION OF SETS
•For our Venn Diagram of Two Legged Animals and
Water Animals, we have:
•{ 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”

14. DEVELOPMENTAL ACTIVITY
a. Who are the personalities given in Activity 1 in
Set A? in Set B?
b. Who is common in both sets? Why?
c. How will you differentiate union and intersection
of sets?
d. Can you give your own real-life examples of
these sets?

15. GUIDED PRACTICE
Let U= { 1,2,3,4,5,6,7,8 }
A= { 2 ,4 ,6, 7, 8 }
B= {1, 2, 3, 5, 7}
a. Give A∪B and A∩B.
b. Place the elements of these sets in the proper
locations in the given Venn diagram on the right (
some numbers are already given)
A
2
34
B

16. INDEPENDENT PRACTICE
Given: P= { 1,2,3,4,5,6,}, Q= {2,4,6,8 }, and R=
{1,3,5}
Find:
a. 𝑃 ∪ 𝑄
b. 𝑃 ∪ 𝑅
c. 𝑃 ∩ 𝑅
d. 𝑄 ∩ 𝑅
e. Illustrate 𝑃 ∩ 𝑄 using Venn diagram

17. UNION AND INTERSECTION OF
SETS
 The union of two sets are all the
elements from both sets. Thus, the union
of sets A and B, written as 𝐴 ∪ 𝐵, is the set
of the elements that are members of A,
or members of B ,or members of both A
and B.

18. UNION AND 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.

19. A. Given sets A and B
SET A
Students who has Instagram Account
SET B
Students who has Twitter Account
Angel Valdez John Angon
Rachel Dy Cherry Cruz
Steph Torres Angel Valdez
Cherry Cruz Phil Reyes
Determine A ∪𝐵 and A ∩𝐵

20. B. Given Venn diagram;
Find:
1. elements of U
2. elements of A
3. elements of B
4. A ∪ B
5. A ∩ B
U
A
B6
7
4
8
10
2
5
3
9
1