[Music] hi Monica Wilma a tournament I openly discuss um intro about sets OD total Honiton and Lahontan concepts about sets so I know and oba Angela laminate on video natal una edit Malala Manhattan and inaba and said Pamela why is he not in human examples company not in malayalam on a well-defined siya or not a well-defined set also Inaba a null set or empty cell next we will determine the number of elements or what are the elements of a given cell and plus B belonging at income in line and B Longman elements a sunset or young teen atomic netting cardinality so bag atomic precedes a discussion ISA ISA Hinman anata no mana Selita naquadah natima encounters through the examples Parimal a Manhattan kanuma bang ibig sabihin amana ito so a toy human a possible examples pneumatic eaten in your Salmonella bro salmon artists nahin eating it so IDI differentiate nadine Shia is ASA okay Anagha bang integers so foxy nominating integers at the human a numbers number of negative numbers of from negative infinity zero up to positive infinity so among a negative number zero and positive numbers unka be lanza integers next cool numbers suppose in a be nothing whole numbers lag atomic CC molasses 0 so from 0 1 to positive infinity so you knew Monica be Lanza whole numbers so coxinha be not equal numbers well initial negative numbers so 0 nalang and positive numbers next counting numbers or natural numbers autonomy new manga numbers Na Nog see similar Wonka bill and Ito I 1 up to net a positive infinity so from the ride itself County Sun battalion axis in Muhammad belong so so 1 2 3 4 up to positive infinity so mwall Anna do young's 0 cap again mailroom 0 a big Sabean who numbers young okay next even numbers even numbers starts with 2 4 6 8 10 and so on and so forth it's like multiples of 2 it's like skip counting by twos add numbers at an Emanuel Ax numbers an accessible as a 1 followed by 3 5 7 9 d so yeah impeccable even at odd number so the Padma familiarize tiresome word source terms NATO para Padma Heaton attention eben aquellas example LM not in come on you ibig sabihin another we have prime numbers by Cena be nominating prime and turning multiplier in your lung I 1 and itself so halimbawa 2 & 2 we only have 1 times 2 to get a product of 2 I'm sorry 1 times 3 to get a product of 3 5 7 11 also soybean also 17 also 19 so those are examples of prime numbers next composite numbers this ID number is now Hindi LOM one in itself and Brad and factor Cena had him bow-wow c4 and for what so one times four by the time acronym two times to see six before so one times six Marin Shang two times three honey Bao was it well Marin Shang one times 12 three and four twenty six so those are examples of composite numbers so 4 6 8 9 12 10 now why is it that we do not have one okay always remember that one is not a prime nor composite why one is a special number so indicia fabulous a prime nor composite numbers because one is a special number next perfect squares so pugs in a be nominating perfect squares this idea Prada at Omaha Prada nominal number nominal de plana 10 by itself halimbawa the number is 1 1 times 1 the product is 1 therefore one is a perfect square to 2 times 2 the product is for therefore 4 is a perfect square so when we are multiplying the number by itself the product is school a perfect squares another example 5 times 5 that is 25 therefore 25 is a perfect square also so it is 649 81/100 because 110 times 10 next multiples multiples it's like skip counting so if your ass come tonight on fire give the multiples of 3 so we will have 3 6 9 12 15 multiples of 5 5 10 15 20 so it's like skip counting and then factors factors these are numbers which can be divided without remainder so halimbawa factors of six so what are the factors of six we have one two three and six so when we are going to multiply six by one the quotient is six six divided 2 is 3 60 by 3 is 2 and 6 divided 6 is 1 so as you can see lahat loom numbers now Jana the device would not end well I'm not even remainder so one patters of 6 1 2 3 & 6 are the factors of 6 let's have pearls and a PvP okay so Maranatha mana pitchers and I have here a t-ball group by 3 so we have Group a group B and Group C so I have here three groups and we will try to group these pictures by three according to its classification characteristic or category okay so let's start okay so I have here for group a shoe jacket cop for Group B we have a ball doll and toy car for group C we have orange mango and banana from the given table group by three so for group a we have shoe jacket and cup for group B ball doll and toy car for a group C we have mango orange and banana okay now twenty bouncy doll is sama Xhosa group a boy debunks issue is a Mufasa group si puede bouncy banana exam I was a group B and then young boy car is a Mufasa group C so back it kiya Hindi not in sit-up wedding is Amidon Hey so for group a we have shoes jacket and buckets Allah in Makaha sama because group a our set of objects that can be worn so it is a good satin oh not in Kalina from bucket in denied in wedding is a monument of young mango young toy car because group a are all objects that can be born next for group B we have ball doll and toy car back is in Makaha sama because Group B is a set of toys and then for group C this is a set of fruits now these three are considered set so these three are all examples of set Etherington atomic nothing said said topic maroon sedan is on classification or characteristics or category so Union can you consider nothing as I said I know GABA answer so a set is a group or collection of objects so it or a group or nappin eczema's among objects of course with the same characteristic at a quarry or classification remember that I said is named using capital letters of a guy an example coca Nina young group named Mila set a set B and set C are capital letters so GU mamita phone on capital letters Casa Hindi puede and small cap exactly named dhyanam said now each object in a set is called a member or an element of a set so an anatomic not induce a megalomania halimbawa sassette e de la monja i jacket cup and shoe so young Pat Luna you on unity not about Nadine element so intelligence among our members or objects Noma fakey Tomasulo Abner a son said I element what is an element so this is our symbol for element and this is our symbol for not an element sorting nguyen pakka ha ha you just have to put slash but the things are not an element pero para who lung Shan Mei / legume not an element so the pot LM not in company char got a meetin okay let's have an example set a is a set of school days in a week so unabating school days in a week you man add all anime path so we have Monday Tuesday Wednesday Thursday and Friday so a to Monday Tuesday Wednesday Thursday and Friday are called members or elements of a given set so Adrienne Tina table agentic element so pertinent Ohio what are the elements of set a Monday Tuesday Wednesday Thursday and Friday next pan open attending a gamete and symbol K song symbol so halimbawa I have here Monday Monday how do we read is is an element of set a gazelle from the given example on Monday is personal school days so Monday is an element of set a Thursday is an element or set a now obviously liniment I am a person on Sunday so sunday is not an element of set a so take note of the symbol used next Saturday is not an element of set E a next sub P is a set of counting numbers less than five so take note of the word less than PAC Cena be nothing less than MASMA Bubba mask my Barbossa 5 so a noona only 10 counting numbers and Nexus Imola Annina Lex is in Milazzo 1k so I know I know your mama counting numbers the MASMA Barbossa 5 so we have 1 2 3 4 okay so Adam 1 2 3 4 ante natal what nothing elements num counting numbers less than 5 next set B is the set of primary colors so an undo by you mono primary colors we have yellow red blue so a tone yellow red and blue are the elements of set B which is the set of primary colors okay let's have more example I have here set a even numbers set be the set of odd numbers set C the set of counting numbers okay so Chi Chi Yong einen sinabi cocaina even numbers 2 4 6 add numbers 1 3 5 7 and set C counting numbers starts with 1 hey so fill in the blank with element or not an element okay so - is it an element or not an element of set a pontiff is a a I'm sabe am AI even numbers and - by even numbers yes so therefore that is an element thanks 7 is 7 an element or not an element of set C and set C I counting numbers so I'm 7 bar I could consider it as a counting number yes so that is an element next negative 2 is negative 2 an element or not an element of set C a negative 2 bar I guess I'm us among accounting numbers No so therefore this is not an element because negative 2 is an integer next it is an is not an element of set B because it is not an even rather an odd number so I'm eat I hindi esha add number so therefore this is not an element next 3 M 3 bar I element or not an element of set D but I cannot in a set B sub a add numbers so um 3 by at number yes so this is an element and the last one we five-five is blank offset a and fiber I even number no so this is not an element all right let's talk about well-defined set the a no Bernadine Monell among well define or not well-defined example I have here such a the set of primary colors eeny Meeny biome primary colors might be began at end of course we have red blue and yellow so therefore this is considered well defined set set a is a well defined set max set B set of beautiful girls in school okay this example or this set is not considered well defined so this is not a well-defined set why because of the word beautiful okay so per column bagua Paris offend maganda she say Oh me mass maganda or Paris know Hindi she maganda so ibig sabihin it's not well defined in d mu not in Shama IPP guy nah Perry Perry hotel so ibig sabihin this is not a well-defined set okay mallamma nothing will define sure if the adjective is present in a given set so detour you beautiful that makes the set not well defined so yeah not attend anything next set C set of months in a year so we all know that that is from January to December so this is a well defined set set the set of a popular outdoor so this is again not a well-defined set because of the word popular next e set of excellent singers so this is also not well defined because of the word excellent what if for me sang Macaulay Gustav on singers I'm Madeleine comenta Paris I own in there so that makes it not well-defined set up percent F we have set of even numbers so even numbers 2 4 6 8 10 so this is I will define set next empty set or a null set a set with no members or elements so hapa gang said more ìwell um members or elements Wallachian Lemann ibig sabihin that is an empty set or an asset Samaritan symbol Nagina gamma John for empty said it looks like a bracket for it now said it looks like a oval with a slash so again we can make use of symbol for empty set and null set what are the examples set of triangles with foresight so set a is the set of triangles with four sides so Marin County but even Placid and triangle is mentally cui if we angle our triangle equilateral triangles isosceles scalene right obtuse triangle acute triangle so Marin Tyagi but if I'm passing and try and get now Marin Bank triangle Nam my four sites of course wallah so this is an example of empty set or Nelson course of a beginning is in at all give the set of triangles with foresight you just have to answer empty set or null set next set B is the set of months in the year start with B so Marin bong month name now manga mines the Nexus I'm iliza be voila we only have three a M s.o.b I know n B well a time B so if it's a behind this is also a now set or empty set set C set of all numbers less than zero we all know that a whole number starts with zero so Marin Popham MASMA Bob us a zero voila so the is also an example of empty set or an asset neck's cardinality this refers to the number of elements in a given set so apart engineering in a man I belong peanut bebe Lancome Elana elements that is already cardinality we are already talking about cardinality it is denoted by the symbol small letter n again it must be small how EE this cardinality of set a so it is written as small letter N and then the name of the set enclosed by parentheses again the symbol for cardinality small letter N and then the name of the cell and close by the parentheses so this is an example hey so I have here set a set of primary colors so for set a we have yellow red blue now can t not I know my cardinality because a big number B elements so for the set of primary colors we have yellow red and blue we have three elements right so we will be writing cardinality of set a is equal to 3 so 3 is and number 3 is the number of elements so small letter n the name of the set enclosed by the parentheses and then the number of elements another example school days in a week so for set B we have Mondays to Fridays so how many elements do we have 1 2 3 4 5 so we have cordiality upset be ignored it is already be because the name of the set is B cardinality of set B is equal to 5 because we have five elements mere entire mood among elements Nana Paula orb sassette B now what if there is no elements in a given cell what will be its cardinality example set of days in a week starts with a Maren bang around an axis in Milazzo a Monday that is M Tuesday Thursday that is T Wednesday is w Friday is a Saturday and Sunday is s so Maren back so a party maintenant cardinality I know some of you will answer and this a or Nancy but this is wrong okay why remember that a final appeal the first two the number of elements you should have written the number pay some illaallah gain at and a number belong come on peanut and on I what are the elements of days in a week starts with a a Tom Petty nothing is a good empty set or now said cassy walla Hanuman illallah gain elements pair oh come on tonight on oh my cardinality since it refers to the number of elements belong so that button illallah gain a tonight the Heidi nullity upset a is equal to 0 K remember that solely think oh come on T not a known I I know I know among elements you should answer empty set or now said paraffin antimatter know my cardinality so a big Sabine belong so an elegant not in I 0 that's all for this video thank you and don't forget to Like subscribe and click the build button again this is wall man