I'm from Romania and I know English and for school when I don't understand what my teacher said I'm coming on your channel and watching your videos to understand much better,thnx for help you are doing a great work
So glad it helped, thanks for watching! If you're in the mood for some math that isn't boring, I strongly recommend my newest video about the infamous S drawn by middle schoolers the world over! th-cam.com/video/uEJQubc0PPU/w-d-xo.html
( 2, 3, 2) is element of S { 1, 3, { } } is element of S [ 1, 4, ] is element of S { ( 2, 5 ), 8, 6, { 1, 9, } , 4 } } is element of S Greetings, can you please let me know if I did this correctly? Ty and have a great day
1. M = {x | x > 6, x is an odd integer} 2. A = {x | 9 < x < 10, x is a counting number 3. T = {x | x is a city in Metro Manila} 4. H = {x | x is a counting number between 4 and 28} 5. S = {x | x is a set of days with names containing x} help me
Do you mean, how many elements does A have? That depends on what A is! If n(A) is the cardinality of A, it is simply the number of elements in A if it has a finite number. Otherwise, it is infinity.
I'm glad the lesson helped! Hopefully it brought you back to a state of tranquility. Thanks for watching and let me know if you ever have any questions!
Thanks for watching and I'm not completely sure what your question is. Sets can contain anything, so 1.5, 2.5, and 3.5 can all be elements of a set. Even the set containing them: { 1.5, 2.5, 3.5 } can be an element of a set! Does that help?
Thanks for watching and that depends on what (1) is. If it is the 1-tuple with the first element of 1, then 1 is not an element of {2, (1)}. If (1) is just like (0+1), as in the parentheses are those we see in arithmetic, then (1) = 1 and so 1 would be an element of {2, (1)}.
This is probably late but here it is: A = { 0, 1, 2, 3, 4} (for those who are confused, x E Z means x is an integer. The E should actually an "element of" symbol as shown in the video.) B = { 0, 1, 2, } (Not sure about this but W means whole numbers so it must not have negative numbers.) C = { 11, 12, 13,..., infinity symbol) (Replace the infinity symbol with the actual infinity symbol since I don't know how to type it on keyboard. N means natural numbers).
This is probably late but here it is: A = { 0, 1, 2, 3, 4} (for those who are confused, x E Z means x is an integer. The E should actually an "element of" symbol as shown in the video.) B = { 0, 1, 2, } (Not sure about this but W means whole numbers so it must not have negative numbers.) C = { 11, 12, 13,...) (Do not forget the "..." since it means the list goes on forever. N means natural numbers).
In the 1st curly bracket, we counted as 1 element before there is a close bracket, but didn’t do the same in the 2nd curly bracket. What’s the meaning of that Sir? I’m lost
That's because the first curly bracket has "opened up an element" and thus there will not be a second element until that first curly bracket is closed. When another open bracket appears, we now have two brackets that need to be closed before we can move on to a new element. Does that make sense?
Can you tell me how we find product means (A*B) of these type of set A= { {6,4}, 2, 8} , B= { x , { p, w, z} ,4 , k } My request please tell me as early as possible
Thanks for watching! You understand because you put in the work to study and comprehend the concepts! Good work and let me know if you ever have any set theory questions!
In one of your video you have said that , the cardinality of power set can be expressed by this equation 2^n , where 2 is showing the possibility of element either being a part of subset or not. But when we actually define a power set , can you please explain how this equation actually work? I mean assume we have a set with two elements,and for the power set two elements will always be an empty set and a set itself , so how does the formula works?
I'm not totally sure what your question is, but this video might answer it: th-cam.com/video/7C7I8SSsXaE/w-d-xo.html And if it helps explain things at all, I'll quickly touch on the two sets you mentioned. For any set S, the empty set and the set S are subsets of S. Like you said, the 2^n formula comes from the fact that for each element in a set, we have two choices when making a subset. Include it or do not include it. The empty set is the subset we get when we choose to not include any. The set S is the subset we get when we choose to include every element. I hope that and the video I linked to helps clear up your question but if not - try explaining your question to me some more and maybe I can help!
@@WrathofMath exactly answered my question . Thanks mate , you just made my day, I came up with the same logic but I just wanted to confirm that was it the right logic or not!
Nice work! Yeah that's what I think is the simplest reasoning that leads to the 2^n conclusion. But of course there are many ways to get to the same conclusion most of the time, which can be great for checking our answers and for explaining things when someone doesn't understand a certain way. For example, if we have a set with 3 elements, how many subsets does it have? Easy, 2^3 = 8. But what if we wanted to try using a different solution method? We are trying to count subsets, so this is a counting problem (the type of problem that we often solve with permutation or combination calculations). We also know that order doesn't matter since these are sets. So knowing that this is a non-ordered counting problem, we might be inclined to try using combinations. Indeed, to count the number of subsets a set with 3 elements has, we could count the number of combinations of 0 elements possible, the number of combinations of 1 element possible, the number of combinations of 2 elements, and of 3 elements, and add them together. This is because a subset is just a combination of the elements in the original set. This would give us C(3, 0) [this is read 3 choose 0, it's the number of ways 0 objects can be chosen from a collection of 3] + C(3, 1) + C(3, 2) + C(3, 3) = 1 + 3 + 3 + 1 = 8. Much less efficient, but another valid solution!
Thanks for watching, Gene! I'm not sure I understand your question. Sets, generally speaking, contain objects, and those objects are called elements. It is the fact that sets can contain elements that makes them so extraordinarily useful in our formulation of mathematics. However, sets don't HAVE to have elements, since there is an empty set.
Right on, good work! I'd recommend not separating your answer from other text using math symbols like hyphens if you can avoid it! In this case of course it is pretty obvious you don't mean negative four due to the context. Thanks for watching!
Thanks for watching and I am not sure what you mean, some sets may contain words, some sets contain numbers, sets can contain anything! Does that answer your question?
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When I was in elementary my teacher, our classmates, and me always wathching your math videos, very nice videos about mathematics😊
Thanks so much, Althea! I am so glad the lessons have been helpful for you!
I'm from Romania and I know English and for school when I don't understand what my teacher said I'm coming on your channel and watching your videos to understand much better,thnx for help you are doing a great work
So glad to help, thanks for watching!
literally saved me... Thank you from the bottom of my heart.
Glad to help!
online class is so boring so i had to watch a vid thanks btw
So glad it helped, thanks for watching! If you're in the mood for some math that isn't boring, I strongly recommend my newest video about the infamous S drawn by middle schoolers the world over! th-cam.com/video/uEJQubc0PPU/w-d-xo.html
( 2, 3, 2) is element of S
{ 1, 3, { } } is element of S
[ 1, 4, ] is element of S
{ ( 2, 5 ), 8, 6, { 1, 9, } , 4 } } is element of S
Greetings, can you please let me know if I did this correctly? Ty and have a great day
Yes,you are
Yes you are correct, but you delete this curly bracket at the end (because you have 2 curly brackets in a row at the end). and it will be fine
wow thank you this was very useful if i ever forget i can come back to this video
Glad it was helpful! Thanks for watching!
1. M = {x | x > 6, x is an odd integer}
2. A = {x | 9 < x < 10, x is a counting number
3. T = {x | x is a city in Metro Manila}
4. H = {x | x is a counting number between 4 and 28}
5. S = {x | x is a set of days with names containing x}
help me
😵😵😵😵😵
😵💫
Is this a joke or something? But M = 7, 9, 11, 13, etc. if I'm not wrong.
Grade 7?
this channel really helps me in my shcool works💖
Glad the lessons help! Thanks for watching and let me know if you ever have any questions!
@@WrathofMath i need to answer my module..heheh..... can you help me....what are the set of this ..bus,motorcycle,jeep,taxi
Thanks for your help
No problem, thanks for watching!
how is N (nartual number) C W (whole number) is it because of it both not having brackets?
Thanks your knowledge share for use thank you cause now I already understand!
You're welcome, I am so glad it helped! Thanks for watching!
धन्यवाद महोदय
Sir help with this one, how many subsets has set A given that set A=(a, c,1,0,4,2,10,12)
Given, no of elements (n) = 8
So, P(A) = 2 raise to n
= 2 raise to 8
= 256
Your so smart man
I just do a lot of math; study, and you will learn just as much! Thanks for watching and let me know if you ever have any questions!
Thankyou🥰
How we distinguish sir the elements of X'
What the answer of n(A)
Do you mean, how many elements does A have? That depends on what A is! If n(A) is the cardinality of A, it is simply the number of elements in A if it has a finite number. Otherwise, it is infinity.
Thank you sir
You're welcome! Thanks for watching!
Please sir help me out. How do I answer this maths / A set has 4 elements find the number of subset
The best example ulike the others .they provide examples for preschooll
Haha, I'm glad you found my examples helpful! Thanks for watching!
Lol i got annoyed and raged at my math assigmment but thanks to u i understand
I'm glad the lesson helped! Hopefully it brought you back to a state of tranquility. Thanks for watching and let me know if you ever have any questions!
You are genius
Thanks for watching, and hopefully you're a genius of identifying set elements now!
Hello, my question is can the numbers
{ 1.5 , 2.5 , 3.5 }
Be a element ?
Thanks for watching and I'm not completely sure what your question is. Sets can contain anything, so 1.5, 2.5, and 3.5 can all be elements of a set. Even the set containing them: { 1.5, 2.5, 3.5 } can be an element of a set! Does that help?
@@WrathofMath yess , thank you !
Thanks po 😁😁😁 it really help
Glad to hear it!
Thanks for the valued shared but u have a question.
Is this illustration true or false?
Is 1 an element of {2,(1)}
Thanks for watching and that depends on what (1) is. If it is the 1-tuple with the first element of 1, then 1 is not an element of {2, (1)}. If (1) is just like (0+1), as in the parentheses are those we see in arithmetic, then (1) = 1 and so 1 would be an element of {2, (1)}.
@@WrathofMath So it's guaranteed to be false if it had been {1} instead of (1)?
THANK YOU SOOO MUCH NOW I I UNDERSTAND 😁😁😀
Glad to hear it! Thanks a lot for watching!
I have a question
In terms of phi/empty set we should count as a element or not??
Maybe or maybe not 🤔🤔🤔
i am 8 and this is my lesson
So in 2^2 x 3^2 what would the elements be?
For the first example is 3 an subst of of yes or no ?
B={phi,3,{5,{9,10},12,13,4{15},18,20}}} how many element sir please answer . I need very much
which software is used for this video
How do I define and write the elements of these sets?
A= {x: -1< x
This is probably late but here it is:
A = { 0, 1, 2, 3, 4} (for those who are confused, x E Z means x is an integer. The E should actually an "element of" symbol as shown in the video.)
B = { 0, 1, 2, } (Not sure about this but W means whole numbers so it must not have negative numbers.)
C = { 11, 12, 13,..., infinity symbol) (Replace the infinity symbol with the actual infinity symbol since I don't know how to type it on keyboard. N means natural numbers).
This is probably late but here it is:
A = { 0, 1, 2, 3, 4} (for those who are confused, x E Z means x is an integer. The E should actually an "element of" symbol as shown in the video.)
B = { 0, 1, 2, } (Not sure about this but W means whole numbers so it must not have negative numbers.)
C = { 11, 12, 13,...) (Do not forget the "..." since it means the list goes on forever. N means natural numbers).
So If we r writing a subset we want to put curly brackets and if we r writing a element no need of bracket?
In the 1st curly bracket, we counted as 1 element before there is a close bracket, but didn’t do the same in the 2nd curly bracket. What’s the meaning of that Sir? I’m lost
That's because the first curly bracket has "opened up an element" and thus there will not be a second element until that first curly bracket is closed. When another open bracket appears, we now have two brackets that need to be closed before we can move on to a new element. Does that make sense?
Can I write 3,4 E S ??
Thanks a lot . Can you help me with a pdf book that has more explain of this sets
Great free book with sets and proofs: richardhammack.github.io/BookOfProof/Main.pdf
@@WrathofMath thanks a lot professor
Can you tell me how we find product means (A*B)
of these type of set A= { {6,4}, 2, 8} ,
B= { x , { p, w, z} ,4 , k }
My request please tell me as early as possible
I don’t know how I understand it but I do
Thanks for watching! You understand because you put in the work to study and comprehend the concepts! Good work and let me know if you ever have any set theory questions!
Achukas :D ok
In one of your video you have said that , the cardinality of power set can be expressed by this equation 2^n , where 2 is showing the possibility of element either being a part of subset or not. But when we actually define a power set , can you please explain how this equation actually work? I mean assume we have a set with two elements,and for the power set two elements will always be an empty set and a set itself , so how does the formula works?
I'm not totally sure what your question is, but this video might answer it: th-cam.com/video/7C7I8SSsXaE/w-d-xo.html
And if it helps explain things at all, I'll quickly touch on the two sets you mentioned. For any set S, the empty set and the set S are subsets of S. Like you said, the 2^n formula comes from the fact that for each element in a set, we have two choices when making a subset. Include it or do not include it. The empty set is the subset we get when we choose to not include any. The set S is the subset we get when we choose to include every element. I hope that and the video I linked to helps clear up your question but if not - try explaining your question to me some more and maybe I can help!
@@WrathofMath exactly answered my question . Thanks mate , you just made my day, I came up with the same logic but I just wanted to confirm that was it the right logic or not!
Nice work! Yeah that's what I think is the simplest reasoning that leads to the 2^n conclusion. But of course there are many ways to get to the same conclusion most of the time, which can be great for checking our answers and for explaining things when someone doesn't understand a certain way.
For example, if we have a set with 3 elements, how many subsets does it have? Easy, 2^3 = 8. But what if we wanted to try using a different solution method? We are trying to count subsets, so this is a counting problem (the type of problem that we often solve with permutation or combination calculations). We also know that order doesn't matter since these are sets. So knowing that this is a non-ordered counting problem, we might be inclined to try using combinations. Indeed, to count the number of subsets a set with 3 elements has, we could count the number of combinations of 0 elements possible, the number of combinations of 1 element possible, the number of combinations of 2 elements, and of 3 elements, and add them together. This is because a subset is just a combination of the elements in the original set.
This would give us C(3, 0) [this is read 3 choose 0, it's the number of ways 0 objects can be chosen from a collection of 3] + C(3, 1) + C(3, 2) + C(3, 3) = 1 + 3 + 3 + 1 = 8. Much less efficient, but another valid solution!
exactly 5 elements,roster method
How to take Union of such sets?
really helpful and sorry sir i was busy because of this i didnot view your video
Thanks for watching, and that is perfectly fine! I'm happy for you to watch whichever videos you have time for and are most helpful for you!
S = {factors of 6}
whats the element
How elements important to a set?
Thanks for watching, Gene! I'm not sure I understand your question. Sets, generally speaking, contain objects, and those objects are called elements. It is the fact that sets can contain elements that makes them so extraordinarily useful in our formulation of mathematics. However, sets don't HAVE to have elements, since there is an empty set.
How can you explain this?
A={a} is not equal to B={{a}}?
The answer would be 4
my brain hurts
That's no good! Let me know if you have any questions, go get a scalp massage to soothe the brain or something!
Really thanks I got it
You’re welcome, I’m glad it helped! Thanks for watching!
Answer of your question is - 4 elements.
Right on, good work! I'd recommend not separating your answer from other text using math symbols like hyphens if you can avoid it! In this case of course it is pretty obvious you don't mean negative four due to the context. Thanks for watching!
Thanks sir
Glad to help! Thanks for watching!
То чувство, когда тебя заставляют учить это
Can i use words instead of numbers?
Thanks for watching and I am not sure what you mean, some sets may contain words, some sets contain numbers, sets can contain anything! Does that answer your question?
1️⃣4️⃣8️⃣8️⃣
Thanks for watching, Alex! Do you have a question I can help clear up?
How many elements in the set {c,{c},{{c}}}
Thanks for watching, how many do you think?
@@WrathofMath 3
whyyyyy is math sooooo hardddddddddddddd whats the elements of a b help me pls
GGG bro
😊
Wtf
Do you have a question I can help answer?