Union and Intersection
of Sets
Prepared by: Ms. Marinel C. Bayron
• Describe and define union and intersection of sets.
• Find the union or intersection of sets.
• Use Venn diagrams to represent the union and intersection of sets.
By the end of this lesson, you will...
FAVORITE SUBJECTS
Answer the follow-up questions:
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?
Given the pictures below, answer the following
questions:
1. Which of the following shows the combination of set A
and set B? How many elements are there?
2. What element/s contain/s in both A and B How many
element/s is/are there?
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?
Union and
Intersection of sets
may be represented
using Venn Diagrams.
Universal set of Animals:
E = Everything = { Fish, Eels, Platypus, Penguins, Eagles, Bats }
Intersection of Sets
“Water Animals” and “Two Legged Animals” .
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, Penguin}
Two Legged Animals = {Eagles, Bats, Penguins }
Union of Sets
The union of two sets is everything that
is contained within the two circles
joined together.
The cardinality of a set is the number of
elements contained in that set.
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?
Try this
Given: A = {a,e,i,o,u}
B = {a,b,c,d,e}
Find:
1. A ∩ B
2. A U B
Assignment ½ crosswise:
1. A U B
2. A ∩ B
3. A U C
4. A ∩ C

Union and Intersection of Sets.pptx

  • 1.
    Union and Intersection ofSets Prepared by: Ms. Marinel C. Bayron
  • 2.
    • Describe anddefine union and intersection of sets. • Find the union or intersection of sets. • Use Venn diagrams to represent the union and intersection of sets. By the end of this lesson, you will...
  • 3.
  • 4.
    Answer the follow-upquestions: 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?
  • 5.
    Given the picturesbelow, answer the following questions:
  • 6.
    1. Which ofthe following shows the combination of set A and set B? How many elements are there?
  • 7.
    2. What element/scontain/s in both A and B How many element/s is/are there?
  • 9.
    a. How willyou describe the given diagram? b. How many sets are there? What are their elements? c. Is there a common element/animal in both sets?
  • 10.
    Union and Intersection ofsets may be represented using Venn Diagrams.
  • 11.
    Universal set ofAnimals: E = Everything = { Fish, Eels, Platypus, Penguins, Eagles, Bats }
  • 12.
    Intersection of Sets “WaterAnimals” and “Two Legged Animals” . 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, Penguin} Two Legged Animals = {Eagles, Bats, Penguins }
  • 14.
    Union of Sets Theunion of two sets is everything that is contained within the two circles joined together.
  • 16.
    The cardinality ofa set is the number of elements contained in that set. 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?
  • 17.
    Try this Given: A= {a,e,i,o,u} B = {a,b,c,d,e} Find: 1. A ∩ B 2. A U B
  • 18.
    Assignment ½ crosswise: 1.A U B 2. A ∩ B 3. A U C 4. A ∩ C

Editor's Notes

  • #11 These are diagrams that make use of geometric shapes to show relationships between shapes
  • #12 We are going to use a Venn diagram to divide these animals into the following two sets:
  • #13 This means that on our Venn Diagram, we will need to have two overlapping circles, so that we can put Penguins inside both circles.
  • #15 It is the combined total of the two sets, where each item is only listed once.
  • #16 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”