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: 5a0:58
- Lesson: 5b1:29
- Lesson: 5c0:58
- Lesson: 5d0:41
- Lesson: 5e1:40
- Lesson: 5f0:26
- Lesson: 6a3:48
- Lesson: 6b0:31
- Lesson: 6c0:53
Set notation
Lessons
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.
- IntroductionIntroduction to Set Notation: 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, badminton}
- Set A= {archery, eating, chess, darts}
- Set B= {soccer, basketball, football, volleyball}
a)Explain what the sets A and B 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).