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In the video, Sal talks about sets. A set is a collection of distinct objects.
For example : x = { 3, 12, 5 ,13 } y = { 14, 14, 6, 3 }.
He says that "∩" means "and". This means what is in both sets "X and Y".
He says that "U" means "or". This means combining everything that is in sets "X and Y" but without repeating a number twice or more times.

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Set A: { 2,4,6,8}
Set B: {1,3,5,7}
AUB:  {1,2,3,4,5,6,7,8}
AnB: {2,4,6,8}

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In the kahn academy video about Intersection and union they were talking about that a set can be anything and a collection of distant objects.  For example in the video they said that x={3,12,5,13} could be a set. So you can see from his examples anything can be a set. So when you saw the numbers in the examples you don't
need to use the numbers that he did in the example you can use any number. Kahn talked about intersection which means that you can find a different set that has both elements.  Union is when you take all the numbers from the sets and combine them together.
-Olivia Mandell

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In the Kahn academy video about intersection and union Sal Kahn was talking about sets and how they could contain a collection of distinct objects. A set can contain anything any numbers, letters, names etc... For example  A= { 1,2,3,4}. I didn't have to use those numbers and I didn't have to call the set "A" that's just what I chose to do. Sal Kahn also talked about Intersection which means you can yield a different set that has both elements. He called and most people call intersection "and". Union is when you take all of the numbers from both sets and put them together to create one big set. He called and most people call union as "or". Then he showed us that you can use a Venn Diagram to explain the problem and help you visualize it.  The numbers that are not in both sets are on the two outside circles but the ones that were in both sets would go in the middle slot.

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In the video for intersection and union the video was talking about how a set can be anything. A set is a collection of distinct objects. This means that a set can have anything in it. For example: you could have a set of your classmates, the 4 seasons, days of the week etc. The symbol ∩ represents the intersection between any two classified sets. This means that if you have a set A which contains the numbers {1,3,5,9} and set B which has the numbers { 2 8,7,9} the ∩ would be the number 9. The symbol ∪ would show the sets combined. For example:
AUB: {1,3,5,9,2,8,}. You don't have to write the 3 twice because when you are combining sets you are just joining one with another. A way to represent this could be to draw a venn diagram showing each set with its elements and the overlaps between all.

Sample problem:

Set Y: {1,2,3,4,5,6,7,8}

Set N: {2,4,6,8,10}

YUN: {1,2,3,4,5,6,7,8,10}

Y∩N: {2,4,6,8}

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In the video Sal Khan was talking about the intersection and union of sets. The intersection of sets is when one takes the numbers that are the same in each of the sets and puts them in a new set. Sal called the symbol, "∩",  "and", because he wants to make a new set with the elements which are the same from both set A "and" B. The union of sets is when one lists all the numbers in both (or more) sets. One does not double list any numbers which are the same from the sets. Sal called the symbol "∪", "or" because he wants to make a new set with the elements from A "or", B.

Sample Problem

F = {1,2,3,4}  I = {1,5,3,6} These are sets F and I.
F∩I = {1,3} This is the new set that was made with the elements which are the same from sets F "and" I.
F∪I = {1,2,3,4,5,6} This is the new set that was made with all the elements from set A "or" B. This is also the universal set.

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In this video Khan academy say the when you are intersecting (the symbol is an upside down U) two sets you are saying what is in set A and B (what numbers are in both A and B), but when you are doing the union of two sets (the symbol is a U) You are saying what is in set A or B, but not repeating the number (including all, but not repeating). The order of the numbers in a set do not have to be in any specific order, but sets always have to be separated by curly braces in order to be a set. You can use a Venn diagram to explain the union and intersecting of two sets by using the middle or the part of the diagram that intersects as where the intersection of the two sets go and the rest as the union.
Examples of union sets and intersecting sets:
A= {2, 8, 4, 17, 13} B={5, 10, 13, 2, 1, 16}
A intersection B= {2,13}      (A has 2 and 13, B has 2 and 13)
AUB= {2, 8, 4, 17, 13, 5, 10, 1, 16}      (All the numbers in set A and B but not repeating any numbers)

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A set is a collection of distinct objects. An intersection contains the elements that are in two sets. The union of sets is when 2 sets are joined together into one "union". The symbol for an intersection can mean "and", but the symbol for a union can mean "or". When you have the union of sets, you combine two sets together in order. When you have an intersection, you find out what two sets have in common. For example; If we have set A: {1, 18, 2, 5} and set B: {8, 5, 4, 6}. AUB (union of A and B) would be: {1, 2, 4, 5, 6, 8, 18}. AnB would be (An intersection B) {5}.

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Intersection and union- The intersection contains elements that are in two or more sets, The intersection combines these elements to create a set of numbers that the two sets have in common.The intersection symbol can be referred to as ‘’and.’’The intersection could be all the numbers or none, if there are no numbers that the two sets have in common, you would put in empty set. The union of a set is when you take all the numbers from 2 sets or more and put all the numbers together to make one big set, most of the time that you have the same number in it, don't repeat the number, there are no repeats when  put the set together.  the union is often referred to as ‘’or.’’Problem- Universal set {1,2,3,4,5,6,7,8,9,10,11} A={ 1,2,3,5,7,8} B={3,4,5,7,9,10}  A∪B Answer: {1,2,3,4,5,7,8,9,10} 2. A⋂B Answer: {3,5,7}

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Intersection and union- The intersection contains elements that are in two or more sets, The intersection combines these elements to create a set of numbers that the two sets have in common.The intersection symbol can be referred to as ‘’and.’’The intersection could be all the numbers or none, if there are no numbers that the two sets have in common, you would put in empty set. The union of a set is when you take all the numbers from 2 sets or more and put all the numbers together to make one big set, most of the time that you have the same number in it, don't repeat the number, there are no repeats when  put the set together.  the union is often referred to as ‘’or.’’Problem- Universal set {1,2,3,4,5,6,7,8,9,10,11} A={ 1,2,3,5,7,8} B={3,4,5,7,9,10}  A∪B Answer: {1,2,3,4,5,7,8,9,10} 2. A⋂B Answer: {3,5,7}

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Intersection and union of sets | Probability and Statistics | Khan Academy

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interval notation is when you want to include all the numbers between two numbers but you can write them all out. if you fill in the circle around the number it means that you want to include the two numbers that you are starting with. if you dont fill in the circle around the numbers it means you only want the numbers in between. brackets alo connect to interval notation. when you are writing out the answer if you include hard brackets it means the same thing as a closed circle and if you use soft brackets it is the equivalent of a open circle on the number line. also interval notation can be written in either ways like ste billeer notaion but never roster notaion.

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interval notation is when you want to include all the numbers between two numbers but you can write them all out. if you fill in the circle around the number it means that you want to include the two numbers that you are starting with. if you dont fill in the circle around the numbers it means you only want the numbers in between. brackets alo connect to interval notation. when you are writing out the answer if you include hard brackets it means the same thing as a closed circle and if you use soft brackets it is the equivalent of a open circle on the number line. also interval notation can be written in either ways like ste billeer notaion but never roster notaion.

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A set is a collection of distinct objects which can be many different things. Some examples are people, colors, farm animals, but the easiest way is to write them, as numbers. You can also name sets as well. The easiest way to  name it is if it is a letter, for example A, B, and C. When you fill the set it, is called the set definition. The way we typically do it in mathematics is when you use curly braces around the objects that are usually separated by commas. Intersection means it can yield another set, that contains both elements that are in each set. People think of a union as or, and you can think of the intersection symbol as and. When you are solving the union set you are basically bring the two sets together. An easier way to visualize intersections, unions, and other things is to use a Venn diagram. In the venn diagram you can view all the numbers in the two sets. Overlapping means intersect. The place where they overlap is region. 

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A set is a collection of distinct objects which can be many different things. Some examples are people, colors, farm animals, but the easiest way is to write them, as numbers. You can also name sets as well. The easiest way to  name it is if it is a letter, for example A, B, and C. When you fill the set it, is called the set definition. The way we typically do it in mathematics is when you use curly braces around the objects that are usually separated by commas. Intersection means it can yield another set, that contains both elements that are in each set. People think of a union as or, and you can think of the intersection symbol as and. When you are solving the union set you are basically bring the two sets together. An easier way to visualize intersections, unions, and other things is to use a Venn diagram. In the venn diagram you can view all the numbers in the two sets. Overlapping means intersect. The place where they overlap is region. 

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A set is a collection of distinct objects. A set can contain anything, it can contain colors, people, cars, farm animals, and it can contain other sets. It is much easier to just deal with numbers. The way we typically do it in mathematics is we put curly brackets around the objects that are separated by commas. Intersection means that this is going to yield another set that contains the elements that are in the two sets. You can think of the intersection symbol as and. A number that is in both sets is an intersection. People think of union as or. You have to find all the elements that are in the two sets. You can imagine that we are bringing these two sets together. The key here is that a set is a collection of objects and the way we are conceptualizing things in the set. We are talking about the object of a number, you can only write down a number once. You don’t have to put it in order when you are talking about the union of a set. The union is basically everything. One way to visualize sets, unions and intersections are to use a venn diagram. In the venn diagram you can view all the numbers in the two sets. The overlapping part represents the elements that are in the two  sets. Overlap can also mean intersect. The place where they overlap is region. You can label a set as a new set. 

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A set is a collection of distinct objects. A set can contain anything, it can contain colors, people, cars, farm animals, and it can contain other sets. It is much easier to just deal with numbers. The way we typically do it in mathematics is we put curly brackets around the objects that are separated by commas. Intersection means that this is going to yield another set that contains the elements that are in the two sets. You can think of the intersection symbol as and. A number that is in both sets is an intersection. People think of union as or. You have to find all the elements that are in the two sets. You can imagine that we are bringing these two sets together. The key here is that a set is a collection of objects and the way we are conceptualizing things in the set. We are talking about the object of a number, you can only write down a number once. You don’t have to put it in order when you are talking about the union of a set. The union is basically everything. One way to visualize sets, unions and intersections are to use a venn diagram. In the venn diagram you can view all the numbers in the two sets. The overlapping part represents the elements that are in the two  sets. Overlap can also mean intersect. The place where they overlap is region. You can label a set as a new set. 

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Sets are a collection of distinct objects. Sets can contain anything but, these example are about numbers.
The intersection of sets is the numbers that both sets have in common.

A∩B

ex.  A: {1,2,3}
B:  {1,2,4}
Intersection=  {1,2}
The union of a set is when both of the sets are combined and there are no repeats.

AUB
ex. A: {1,2,3,4,5,}
B:  {6,7,8}
Union= {1,2,3,4,5,6,7,8,}

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Problem for the intersection and union of sets 

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Problem for the intersection and union of sets 

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Universal Set: (1,2,3,4,5,6,7,8,9,10,11,12,13,14)
A:(2,4,6,8,10,12,14)
B:(1,3,5,7,9,11,13)
AUB: (1,2,3,4,5,6,7,8,9,10,11,12,13,14)
AnB: ( )
-jordan

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The intersection of a set is when you find the number or numbers that are in both of your sets. Whether or not it is only one number or multiple numbers, you write them in a roster notation. if there are no numbers that are in both or all of your sets then you would put an empty set in the place of your intersection. The union of two or more sets is when you take all of the numbers from all of the different sets and put them all together in one complete set, sometimes called a  universal set. You are not allowed to write any number more than once.
-jordan

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A set is a collection of elements. There are  operations of sets the intersection and the union. The intersection of two sets is the set of elements that are common to both sets and are marked by the symbol n.  For example if A= { 1,2,3,4} B={1,3,6,7} then A n B {1,3} . This is true because 1 and 3 are elements in both set A and B.

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To review for your test, choose one of the following 3 videos and provide a brief summary of the topic covered in that video. In your explanation you must create one sample problem (different from the ones in the video) and explain the solution to your problem. Click the plus sign on the bottom right of your screen to create a post. Make sure to use your name and video topic for the title of your post. Please feel free to watch all the videos if you want to review even more!

Option 1 (Intersection and Union of Sets): https://www.youtube.com/watch?v=jAfNg3ylZAI

Option 2 (Classifying Real Numbers): https://www.youtube.com/watch?v=IK0OR2vg_Qc
*Note for option 2: We include 0 in our definition of Natural numbers.

Option 3 ( Interval Notation): https://www.youtube.com/watch?v=UJQkqV2zGv0