Set notation
- Intro Lesson15:20
- Lesson: 16:33
- Lesson: 22:14
- Lesson: 3a1:26
- Lesson: 3b1:52
- Lesson: 3c0:59
- Lesson: 3d0:47
- Lesson: 3e1:44
- Lesson: 4a1:50
- Lesson: 4b0:53
- Lesson: 4c1:59
- Lesson: 4d2:14
- Lesson: 5a0:56
- Lesson: 5b1:28
- Lesson: 5c0:55
- Lesson: 5d0:42
- Lesson: 5e1:40
- Lesson: 5f0:21
- Lesson: 6a3:48
- Lesson: 6b0:30
- Lesson: 6c0:52
Set notation
Lessons
In this lesson, we will learn:
- Drawing Venn Diagrams With Sets
- Understanding How to Use Set Notation
- Drawing and Interpreting Venn Diagrams
Notes:
Here are some terms that we need to know for set notations:
Set: A list of objects or numbers.
Element: An object or a number in a set.
n(A): The number of elements in set A.
Subset: A set where all its elements belong to another set.
Universal Set: A set of all elements in a particular context.
Empty Set: A set with no elements.
Disjoint: Two or more sets that do not have any elements in common.
Mutually Exclusive: Two or more events that cannot happen simultaneously.
Finite Set: A set with a finite number of elements.
Infinite Set: A set with an infinite number of elements.
Complement: The list of remaining elements in the universal set that is not in the mentioned set. If B is a set. Then we defined the complement to be B′ or B.
- IntroductionSet Notations Overview: Definitions and Terms
- 1.Drawing Venn Diagrams With Sets
Consider the following information:
- A = {1, 2, 3}
- B = {3, 4, 5}
- Universal Set U = {1, 2, 3, 4, 5, 6, 7}
Draw a Venn Diagram describing the 3 sets.
- 2.
Consider the following information:
- A = {1, 2, 3}
- B = {4, 5, 6}
- Universal Set U = {1, 2, 3, 4, 5, 6, 7}
Draw a Venn Diagram describing the 3 sets.
- 3.Understanding How to Use Set Notation
Consider the following information:- Universal set U = {0, 1, 2, 3, 4, 5,...}
- Set N = {all natural numbers}
- Set A = {0}
- Set B = { }
a)Is set N a finite set or an infinite set? What about set B ?b)List all disjoint sets, if any.c)Determine n(N) , n(A) if possible.d)Patsy made a statement saying that n(A)=n(B) . Is this true?e)Is the statement N⊂U true? - 4.Consider the following Venn Diagram:
- Universal set U={archery,eating,chess,darts,soccer,basketball,football,volleyball,tennis,badminton}
- Set A={archery,eating,chess,darts}
- Set B={soccer,basketball,football,volleyball}
a)Explain what the sets A,B and U represent.b)List all disjoint sets, if any.c)List all the elements of B′ .d)Show that n(A)+n(A′)=n(U) . - 5.Consider the following Venn Diagram:a)What is the universal set?b)List all the elements in set A and B.c)Find a subset for set B.d)List all disjoint sets, if any.e)Find n(A), n(B), and n(C).f)Is set C a finite set?
- 6.Drawing and Interpreting Venn Diagrams
Consider the following information:
- Universal Set U= {−10,−9,−8,−7,−6,−5,−4,−3,−2,−1,0,1,2,3,4,5,6,7,8,9,10}
- Set A = {positive odd number up to 10}
- Set B = {positive even number up to 10}
- Set C = {0}
a)Draw a Venn diagramb)List all disjoint sets, if any.c)Find n(A), n(B), and n(C).