Sections Included:
1. Collection
2. Types of Collection
3. Sets
4. Commonly used Sets in Maths
5. Notation
6. Different Types of Sets
7. Venn Diagram
8. Operation on sets
9. Properties of Union of Sets
10. Properties of Intersection of Sets
11. Difference in Sets
12. Complement of Sets
13. Properties of Complement Sets
14. De Morgan’s Law
15. Inclusion Exclusion Principle
Sections Included:
1. Collection
2. Types of Collection
3. Sets
4. Commonly used Sets in Maths
5. Notation
6. Different Types of Sets
7. Venn Diagram
8. Operation on sets
9. Properties of Union of Sets
10. Properties of Intersection of Sets
11. Difference in Sets
12. Complement of Sets
13. Properties of Complement Sets
14. De Morgan’s Law
15. Inclusion Exclusion Principle
Know the basics on sets such as the methods of writing sets, the cardinality of a set, null and universal sets, equal and equivalents sets, and many more.
This will help you in illustrating operations on sets using Venn Diagram. Also, how to find the intersection, union, complement and difference of two sets.
For more instructional resources, CLICK me here!
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here!
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
Know the basics on sets such as the methods of writing sets, the cardinality of a set, null and universal sets, equal and equivalents sets, and many more.
This will help you in illustrating operations on sets using Venn Diagram. Also, how to find the intersection, union, complement and difference of two sets.
For more instructional resources, CLICK me here!
https://tinyurl.com/y9muob6q
LIKE and FOLLOW me here!
https://tinyurl.com/ycjp8r7u
https://tinyurl.com/ybo27k2u
After going through this module, you are expected to:
• define well-defined sets and other terms associated to sets
• write a set in two different forms;
• determine the cardinality of a set;
• enumerate the different subsets of a set;
• distinguish finite from infinite sets; equal sets from equivalent sets
• determine the union, intersection of sets and the difference of two sets
This slide help in the study of those students who are enrolled in BSCS BSC computer MSCS. In this slide introduction about discrete structure are explained. As soon as I upload my next lecture on proposition logic.
About sets , definition example, and some types of set. Explained the some operation of set like union of set and intersection of set with usual number example
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
Students, digital devices and success - Andreas Schleicher - 27 May 2024..pptxEduSkills OECD
Andreas Schleicher presents at the OECD webinar ‘Digital devices in schools: detrimental distraction or secret to success?’ on 27 May 2024. The presentation was based on findings from PISA 2022 results and the webinar helped launch the PISA in Focus ‘Managing screen time: How to protect and equip students against distraction’ https://www.oecd-ilibrary.org/education/managing-screen-time_7c225af4-en and the OECD Education Policy Perspective ‘Students, digital devices and success’ can be found here - https://oe.cd/il/5yV
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
How to Split Bills in the Odoo 17 POS ModuleCeline George
Bills have a main role in point of sale procedure. It will help to track sales, handling payments and giving receipts to customers. Bill splitting also has an important role in POS. For example, If some friends come together for dinner and if they want to divide the bill then it is possible by POS bill splitting. This slide will show how to split bills in odoo 17 POS.
We all have good and bad thoughts from time to time and situation to situation. We are bombarded daily with spiraling thoughts(both negative and positive) creating all-consuming feel , making us difficult to manage with associated suffering. Good thoughts are like our Mob Signal (Positive thought) amidst noise(negative thought) in the atmosphere. Negative thoughts like noise outweigh positive thoughts. These thoughts often create unwanted confusion, trouble, stress and frustration in our mind as well as chaos in our physical world. Negative thoughts are also known as “distorted thinking”.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
The Indian economy is classified into different sectors to simplify the analysis and understanding of economic activities. For Class 10, it's essential to grasp the sectors of the Indian economy, understand their characteristics, and recognize their importance. This guide will provide detailed notes on the Sectors of the Indian Economy Class 10, using specific long-tail keywords to enhance comprehension.
For more information, visit-www.vavaclasses.com
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
2. Set:
A = {1, 3, 2, 5}
n(A) = | A | = 4
Sets use “curly” brackets
The number of elements
in Set A is 4
Sets are denoted by
Capital letters
A3∈
A7∉
3 is an element of A
7 is not an element of A
3. A set is a distinct collection of objects. The objects are
called elements.
{1, 2, 3, 4} = {2, 3, 1, 4}
Order does not matter. If a set
contains the same elements as
another set, the sets are equal.
{1, 3, 2, 3, 5, 2} We never repeat elements in a set.{1, 3, 2, 5}
This symbol means "is a subset of"
This is read "A is a subset of B".A ⊂ B
A = {1, 2, 3} B = {1, 2, 3, 4, 5}
{1, 2, 3, 5} In ascending order
4. If a set doesn't contain any elements it is called the
empty set or the null set. It is denoted by ∅ or { }.
NOT {∅}
It is agreed that the empty set is a subset of all other sets
so:
where is any set.A A∅ ⊆
List all of the subsets of {1, 2, 3}.
∅
Notice the empty
set is NOT in set
brackets.
{1} {2} {3} {1, 2} {1, 3} {2, 3} {1, 2, 3}
A⊂∅
5. ?
Number of
Elements in Set
Possible Subsets Total Number of
Possible Subsets
1. {A} {A} ∅ 2
2. {A , B} {A , B} {A} {B} ∅ 4
3. {A , B , C} {A , B , C} {A , B} {A , C}
{B , C} {A} {B} {C}
∅
8
4. {A , B , C, D} {A , B , C , D} {A , B , C}
{A , B , D} {A , C , D}
{B , C , D} {A , B} {A , C}
{A , D} {A , B} …… {D} ∅
16
The number of possible subsets of a set of size n is ?2n
6. A ∪ B
This is the union symbol. It means the set that consists of all
elements of set A and all elements of set B.
= {1, 2, 3, 4, 5, 7, 9}
Remember we do
not list elements
more than once.
A ∩ B
This is the intersect symbol. It means the set
containing all elements that are in both A and B.
= {1, 3, 5}
A = {1, 2, 3, 4, 5} B = {1, 3, 5, 7,
9}
7. Often will have a set that contains all elements that we
wish to consider. This is called the universal set. All other
sets are subsets of this set.
Universal Set
A B
A ∩ B = ∅
There are no
elements in
both A and B.
When this is
the case they
are called
disjoint sets.
A
This means the complement of A, and
means the set of all elements in the
universal set that are not in A.
A A
8. 100 people were surveyed. 52 people in a survey owned a
cat. 36 people owned a dog. 24 did not own a dog or cat.
Draw a Venn diagram.
universal set is 100 people surveyed
C D
Set C is the cat owners and Set D is the dog
owners. The sets are NOT disjoint. Some
people could own both a dog and a cat.
24
Since 24
did not own
a dog or
cat, there
must be 76
that do.
n(C ∪ D) = 76
This n means the
number of elements
in the set
52 + 36 = 88 so
there must be
88 - 76 = 12
people that own
both a dog and
a cat.
12
40 24
Counting Formula:
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)