๐Ÿฆœ๐Ÿฆš๐ŸฆฉThe Intersection and Union of Sets๐Ÿฆœ๐Ÿฆš๐Ÿฆฉ

 Welcome ๐Ÿ‘ฆ๐Ÿ‘งboys and girls to another Mathematics class. Today, we will be learning about the intersection and union of sets.

What is a Set?

A set is just a collection of things (like numbers, toys, or names).
We usually list them inside curly brackets { }.

Example:
Set A = {1, 2, 3}

1. The UNION of Sets (∪)

Definition: The union of two sets is everything from both sets put together.
Think of it like: "Combine them all!"
Symbol: (like a cup that holds everything).

Rule: If an item is in Set A OR in Set B, it goes into the Union.

Example 1:
Set A = {1, 2, 3}
Set B = {3, 4, 5}
Union (A ∪ B) = {1, 2, 3, 4, 5}  

Example 2 (Real Life):
Set A = {Pizza, Burger, Fries} (Your favorite foods)
Set B = {Fries, Sushi, Cake} (Your friend's favorite foods)
Union (A ∪ B) = {Pizza, Burger, Fries, Sushi, Cake}
(This is all the food you both like together!)  

2. The INTERSECTION of Sets (∩)

Definition: The intersection of two sets is only the items that are in BOTH sets.
Think of it like: "What do they have in common?"
Symbol: (like an upside-down cup or a bridge connecting two things).

Rule: An item must be in Set A AND in Set B to go into the Intersection.

Example 1:
Set A = {1, 2, 3}
Set B = {3, 4, 5}
Intersection (A ∩ B) = {3}
(Because 3 is the only number that appears in both sets!) 

Example 2 (Real Life):
Set A = {Pizza, Burger, Fries} (Your favorite foods)
Set B = {Fries, Sushi, Cake} (Your friend's favorite foods)
Intersection (A ∩ B) = {Fries}
(Because Fries is the only food you BOTH like!)

Task 1: Complete the task in your book.
Set X = {Apple, Banana, Grape}
Set Y = {Grape, Orange, Melon}

  1. What is the Union (X ∪ Y)?

  2. What is the Intersection (X ∩ Y)?

Task 2:
Use the information from the Venn Diagram to find the intersection and union of the set.

2a. What is the intersection of set P and Q?
        Ans= PQ= {12, 6, 18}
2b. Find the union of set P and Q.
         Ans= P U Q = {2, 3 4, 6, 8, 9, 10, 12, 14, 15, 16, 18}

๐Ÿ‘ฆ๐Ÿ‘งBoys and girls watch the video clips to get additional information on intersection and union of a set.

click and watch                                click and watch 

It's now activities time boys and girls.๐Ÿ‘‡๐Ÿ‘‡
Task 1:
1a. Write the union and the intersection of set M and N.
                M= {3, 6, 9, 12, 15}           N= {2, 4, 6, 8, 10, 12}

2b. Use the information in the Venn Diagram to find the intersection and union of set of R and S.


Task 2:

1.     Use the information given below to create a Venn Diagram.

W= {the whole numbers from 0 to 4}     X= {the counting numbers from 1-5}  

 

 

                     W ∪ X={                       }               W U X={                                               }


Task 3:

Liveworksheet Activities Time๐Ÿ‘‡๐Ÿ‘‡






Boys and girls hope you have fun learning about the intersection and union of a set. 

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