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# Set notation

- Intro Lesson15:20
- Lesson: 16:33
- Lesson: 22:14
- Lesson: 3a3:48
- Lesson: 3b0:30
- Lesson: 3c0:52

### 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 $\overline{B}$.

- Introduction
__Set 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.
**Drawing and Interpreting Venn Diagrams**Consider the following information:

- Universal Set $U =$ $\mathrm\{-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$
- 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 $n(C)$.