29 MENIT DIJAMIN ANDA MENGUASAI BAB HIMPUNAN

Bismillahirrahmanirrahim Assalamualaikum warahmatullahi wabarakatuh Okay, meet again with me, Mat Syerozi Okay, this time I will invite you to discuss the summary of the collection material Where this material is a material taught in class 7

Actually, there are many types of collection materials, but today I will be brief so that hopefully you see this video, it has covered everything and I swear you can understand it Okay, what are we going to learn? The first is the collection concept, what is a collection? It will be explained later

Okay, how to write it, how to state the collection, what is the collection of empty parts, what are the parts, the diagram of the fan, the application of the collection, and especially for the part collection that I will discuss in the next part, because it's a bit difficult. Okay, let's just go straight to the first one, which is about the concept of collection. What is a collection?

The collection is a collection of topics that can be defined clearly. For example, this is a collection example. A student group that was born in August. This is clear. The members are clear. The male student group is clear. If it's not clear, how? This is an example. This is an example that is not a collection.

The big cities in Indonesia. We don't know which big cities are who who values ​​big or not, because people's opinions are different. The second is the rich people's group in Indonesia. Rich people are also the same.

People's values are different, so big, rich, and so on are not clear. What is the size like? It's not clear. It's high, it's high, it's enjoyable, it's not clear. Unless, for example, this one was born in August, this is clear. A group of two-legged animals is also clear.

But if it's still big, rich, smart, tall, happy, and delicious, people's opinions are different, so this is not called a collection. This is a collection, not a collection. Next, how to write a collection? There are rules. The first is to use capital letters. Capital letters are bigger.

then connected with the same sign, then used the initial curve, the curve like this, which is curved, then the union between the members is divided by the comma sign, for example like this, so the union A, capital letter, is the same, then there is the initial curve, the union members are divided by the comma sign, then don't forget to give space, give distance,

like this, B, A, B, C, D, and so on usually use capital letters okay, continue okay, now how to declare a collection

Okay, maybe in some questions there are many ways to state it and usually there are three of these The first is to mention the member or the other name is enumeration What is the example? The example I mentioned earlier is for example this, A, the member 123 is the member It's clear, the name is to mention the member Continue, B, like this, mention the member

The second one is to write the characteristics of the unit, or usually in certain books it is called by words. For example, here, for example, A, the sum of A is the integral of C, which is 4. What is the unit? Well, 1, 2, 3. B, the integral of the integral is 8. So if we write this in the unit, then 1, 3, 5, 7, like that.

So, from these two ways, there is a mention of a member or a member's income. The second is to write down their characteristics, where both of them are the choices of each person. Next, you will also often find that the collection is stated in writing down the notation. What do I mean? So, for example, A is a member of 123, the notation is like this.

You may be confused like this, but it's okay, the important thing is that you have to know this first. So this is the exponent A, the exponent is x, where x is less than 4, this is less than 4, and x is the original number. This is a bit difficult, but if it comes, the exponent is the same, it is 1, 2, 3.

B, the member is X, where X is less than 8 and X is a odd number. So this is how to declare a combination of three, depending on your taste and I'm sure you won't like it at number three. But you have to know this first because it will be used in other classes later. In class 8 it is also used like this. The most common is the one who gets the member and also the second, but the most common is number one.

Okay, like that, we continue again. Empty collection, what is empty collection? So empty collection is a collection that has no members, does not have members. What do I mean? Example. Okay, actually this is labeled as a first grade but no members. Or the label is like O but cut. Well, that's a label from empty collection. Okay, example. A 7th grade student whose age is 27 years old. So this is impossible, right? 7th grade, yes, his age

About 12 or 13 years old, right? So if below 7 years old, it's impossible. It means that A is a union. Why? Because it's clear. For example, in class 7, the age below 7 years is a union. But this doesn't have a member. So it can be written that A is an empty union. So O is arranged like this, or the initial order is empty. Next, B is the prime number between 24 and 28.

Between 24 and 28, what are the numbers? That is 25, 26, and 27, where the three numbers are not prime numbers. So this B does not have a member. It means it is written empty. So it can be understood that the empty number is a number that does not have a member. Next, the next is the number of parts.

Okay, here I will not write what is divided, but I will give an example. For example, A is 1, 2, 3, 4, 5, 6, 7, 8. B is 2, 4, 5, 6, 8. Then C is 4, 6, 8. If we look at the B collection,

All members B must be in A, right? 2, 4, 6, 8 That means B is a part of the A collection The symbol is like this, this is the symbol of the collection Or in mathematics, the term is a subset Continue, C, C with B 4, 6, 8 All members that are in C are in B, which means

C is a combination of parts from B, or written C, the symbol is like this. Is it possible to reverse it? For example, A, A with B, what part is it? Let's see, are all the members in A in B? No, because this is 1, 1 is the member A, but 1 is not in B, so A is not a part of B, or the symbol is like this.

So, just give it a line like that. Okay, continue. Now, the collective members. This is just a symbol. So, if A is the member of 1/4878, 1 is a member of A. So, the member is written with a symbol like this. E, or an element. So, the symbol is like E. Or it can also be read with an element. 1 is an element A. A collective member. 7, yes, is an A member.

Is 9 there? Because 9 is not there, it means that 9 is not a member of A. What about the symbol? Just erase it. So this collection is a very easy material, the calculation is very little, but there are many symbols and understandings. So it's easy. Next, the semester collection. The semester collection is a collection that fits all the members that are discussed.

The symbol is usually S. Semesta is always S. If the other symbols are A, B, C, D, but if the semesta symbol is S. So, for example, A is 1, 2, 3, 4, 5, 6, 7, 8. Then the semesta symbol that is possible is the first one, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. This is the semesta. Continue. Because there are many S, the original number. This is also the original number, right? So it's included.

Next, S, this is a round square, yes, all of these are round circles, which means they can be entered. There are so many things we can write, so semesta is like that. The point is that all of these members must be included in this, this, this, that's called semesta. Okay, next. Now we have the point, the Venn diagram. This is how to, what is it called, the collection of the collection so that it can be understood more, namely using the Venn diagram.

What is the example? Okay, look carefully, this is it. If there is S, the sum of the numbers is 1, 2, 3, 4, up to 9. The A is 1, 2, 3, 4, then if it is written, okay, there are two solutions A and B. So,

There are two components A and B, where the semester is 1-9, so first we have to make a box first, where this is the semester, so this must be boxed because this is the semester that is discussed. Then we see between A and B, is there anything the same or not? Oh, there is, 3 and 4. Because there is the same, it means that later we will make a circular that is cross-cutting each other, like this. So this is A, this is B.

First, we fill in the same first, what is the same? The same is 3 and 4, this is 3, this is 4. The component A is the component 1, 2, 3, 4. Because we have filled in 3 and 4, then fill in 1, 2, 1, 2, 3, 4. Okay, continue with B. This is already filled in 3, 4, so there are 5, 6, 7. So this is the curve.

Well, what about those that are not there? Where are the other 9? 9 because it is not in A and P, so it is outside. But it's still in one universe. Like that. Okay, the next example, let's understand it better. Okay, like this. So P and Q. 1 and 3 are drawn as 5 and 6. Q, 4, 5 and 6. Okay, first we draw the S first. Then we look at the data.

Between P and Q, is there any same or not? Okay, it turns out to be the same, this is 456, this is 456. But this Q, all the Q members are in P. So what's the picture? Because the picture means that the circle is one like this. So this is P, this is Q, so all the Q members are in P. Then we fill in the 456, 456.

Then P is 1, 2, 3 The rest is not there, the character is outside 7, 8, 9 Like this So in gramophone, the picture should not be like this, it must be Various depends on the collection Okay, the next example How about this, this is 1, 3, 4, 5 L, 6, 7, 8, 9 The first we see, is there anything between K and L? Oh, there is not, okay, if there is not, it means

the circle is separated like this, it doesn't stick, so this is K, this is L like this. So there are many ways to understand the diagram of the Venn diagram. But what you need to understand is that the first one, number 1, this diagram Venn often appears, this diagram Venn is often used.

And you need to remember how to present the Venn diagram, to make the Venn diagram, first you have to focus on the same member. That's very decisive, how the Venn diagram is formed. So that's it. Okay, I continue. Well, the collection operation, this is also not less important, it often appears in national exams too. Okay, I continue.

There are several combinations that are taught, the first is the division, the combination, the division and the complement. So, if for example there are two combinations, like the example earlier, namely A and B, like this. The first is the division, the division is the division of N, which means the letters are like N, so it's like U but reversed, so the letters are like N. A is the division of B.

The same line means to find the same one. What is the same between A and B? That is 3 and 4. So we write 3.4. Next, B. Combination. Combination, meaning U. The letter is like U. Combination. Combination is all the members in A or B. So we write everything in the circle.

A + B = 1, 2, 3, 4, 5, 6, 7 Remember, the same one, the one we wrote, we write 1 only, not 2 times. Like that. Continue. This is the solution that is usually confused. It also appeared in the National Exam. The solution A - B, this is the reduction. A - B means

The sum that exists in A is minus the same. What is the sum in A? 1, 2, 3, 4. There is the same, that is 3 and 4. That means if it is reduced, it is 1 and 2. Or it is easier to see this. This is A minus B. That means the unit is 1 and 2. That means 1.2. What if B minus A? B minus A means this. The unit B is reduced the same. That means it is 5, 6, 7.

Okay, we write 5, 6, 7. Okay, next is about the complement. This is D, sorry for the D. Complement, usually the alphabet is C above or the dot is an accent. A sub C means complement, means other than A. So the one that is not a member of A. What is a member of A? 1, 2, 3, 4. What is not a member of A?

Yes, except for the one in A, because C is a complement or C is apart, apart means apart A means there is what, yes, it means there are 56789, how about 3 and 4, 3 and 4 are members of A, it means they don't enter

Next, if except B, what is the other B? The other B is 1, 2, 8, and 9. So, the semester must be calculated. So, it's like this, 1, 2, 8, 9. I hope you understand. For the collection operation, I continue in the next part.

Now we come to the application of the summary of the story This is the point, usually, yes, it's about the story This is mandatory, it must be understood, because this often also appears in national exams It means that this is a mandatory ability that you must master in learning the summary But don't worry, I will give you the quick way

To solve the story, there are several types of questions. The first type is when the question is the total number of students. What does it mean? For example, there are 20 children who like basketball, 31 like volleyball, and 15 children like both. What is the total number of students?

I often see people who immediately count all the numbers, be careful, pay attention to the line, where is the line? In 15 children like both, it means 20 children who like basketball have included 15, 3 participants who like volley have included 15 children, it means that the picture has a list.

The first step in doing this is to focus on those who like both. 15 children like both. It means, the picture is like this. This is a basket, this is a volley. The first thing is to fill in both. It's mandatory. Don't just do the volley, but it's mandatory to fill in both. This is very important. Okay. Since the two who like both are 15 children, it means that

basket players, which is five children here. Why are there five children here? 20, yes, it means that if in total it is 25 plus 15, so these five children are just basket players without the need for a volley. If all of them are 20 children, it's true. Now the volley, there are 31 children, but it is already filled with 15, so there are only 16 children left, so if in total there are 36 students.

This is the first type, which is asked the whole number. To make it more clear, I will give you the following example. There are 30 children who like basketball, 20 children who like volleyball, 1 child doesn't like both, and 10 children like both. The first focus is on those who like both. Be careful, not this one, those who don't like both, but those who like both. How many do you like both? 10. Okay, next.

Okay, this is 20 children, because the basket is 30. Continue, this is 15. One child doesn't like the number of students. Be careful, there is one child who doesn't like both, which means he is outside. So the total is 20 + 10 + 15 + 1 = 46. That's it, hopefully you can understand. Okay, let's continue.

B. Ask outside circle. For example, there are 40 types of children. There are 25 children who like basketball and 10 children who like both. The first is the same as before, focus on those who like both. It is mandatory to help you in working on a matter like this. Because if you don't focus on those who like both, you will have difficulties.

Okay, here's a picture of the syllabus that I wrote and it's always like this. Okay, basket, volley. The first one is this. How many are these? 10 children, yes, 10 children for both. So the basket is less than 15. The volley means less than 5, because there are 12 children. Okay, which one is asked? The one that is asked is this one, the one outside. How many students don't count both? It means this. Well, but we know that the result is 40 in total.

So, 15 + 10 + 5 + how many? There are 40 children. This is 30. 30 + how many? There are 40 children + 10 children. So, the answer is 10 children. 10 children. This is not the same as the other. Continue. Okay, the next example is to understand it better. Student 7F is 35. 20 children like basketball. Okay, your eyes must immediately agree with the one who likes both. Which one is it?

9 children 20 children like basketball, so only 11 children are left. The number of children in the group of 19 means that there are 10 children. How many students are not happy with both of them in total? 20 + 30 = 5 children do not like both of them. This is the second type of question, which is the one asked outside.

How about if we ask about the mixed ones? What does it mean? For example, like this. The mixed ones are the two numbers from earlier. There are 36 students. 5 children don't like volley and basket. 25 children like basket. 10 children like both. How many students like volley? We write it like this. Focus on those who like both. 10 children like both. Then the basket. How many children like basket? 15.

Then those who don't like both outside, like this, I don't know, those who like foley, how many, I don't know, but we know that outside there are 5 children, there is a description here, 5 children who don't like foley and scat. Well, even though the number was 36, we total 15 + 10 + 5 + how much, so the result is 36, which is how much is this, okay, this is 30 + how much, it means + 6, yes.

So the answer is 6 children. Next, the next number. 7B students have 40 children. 10 children don't like basketball and basketball. 20 children like basketball. 15 children like both. Let's focus on the 15 children who like both. The point is that both of them like each other. Let's draw it like this. Basketball. This is basketball. Of course, this is 15 children. So the ball player is left

5 because it's 20. So, this one is left, oh, I don't know. But the one I don't like is 10. In total, it should be 40. Okay, so 10 children, yes. This one is 10. Okay, let's continue to the next type. Okay, that is D, if asked about the order. This often happens. Asked like this. It's a bit difficult if you use the way in the book, but use the way I give.

For example, 9 students are 30, 5 children don't like football and basketball, 19 children like football, 15 children like basketball. How many children like both? Well, we have to focus on the two that like each other. But the problem is that the two that like each other are not known, they are asked how to do it. Okay, the way is quite easy. First, you have to focus on the total number, which is 30 children.

Then we will sum up the rest, 5, 19, 15, we will sum up all of them. If we sum up, there will be more, there will be the rest. 30 children are all in total. If in total, this is 39, how many children are there? 30 children. So, 9 children. 9 children are the second favorite. So, the key is

Multiply all numbers except the total number The result will definitely be an extra number The extra is the student or many students who like the second Next, here is 29, 3 children don't like soccer and basketball The first is asked by the student who likes the second

This is rounded red, then this 3 + 17 + 14, how much is 3 + 17 = 20, 20 + 14 = 34 children, even though the number should be 29, so there is a surplus, where is the surplus? 34 - 29, how much is it?

34 - 29 = 5 children. So the answer is 5 children are the students who like both. Okay, I hope you can understand. Now, because the time is up and I hope you can understand my explanation a little faster.

And I'm sorry if I'm too fast or not clear, I'm sorry or there are some words that I said earlier. I'm sorry and thank you for your attention. Thank you and may your knowledge be useful and beneficial. I'm Khiri. Wassalamualaikum warahmatullahi wabarakatuh. See you.