i would like to correct a mistake in Zhong Ming's response, that an equal set occurs when both sets contain 'exactly the same elements', and not 'the same number of elements' as claimed, misunderstanding its meaning. Because when he say that, there is a contradiction in his example as despite him proving in his example that the sets are 'disjoint' due to nothing being common, it can be argued that they are 'equal sets' because both has same number of elements, as stated by him.

Donovan Singh

-Jøəł Çhęřñ

Muhd Sharizat

-Jalen Goh

Isyraf Khan

-Dylan Tan

Luqman-kun

n(A)=n(B)

Thus is it unknown if the elements are exactly the same or different.

Okay, let's say that the sets are equal. Hence, A=B

An example would be:

A={x:x is a number that is >0 but is < 13}

B={x:x is a number that is >1 but is < 13}

Thus:

A={1,2,3,4,5,6,7,8,9,10,11,12}

B={1,2,3,4,5,6,7,8,9,10,11,12}

And so, A=B as they both contain the exact same same and type of elements.

However if the elements are different( since it is already stated in the question that both An and B have the same number of element) A≠B

An example would be:

A={x:x is an odd number <13}

B={x:x is an even number < 13}

Thus:

A={1,3,5,7,9,11}

B={2,4,6,8,10,12}

And so, A≠B as they both contain the same number of elements but not the exact elements.

Hence due to the vagueness of the question, it cannot be assumed that A=B even though both sets have the same number of elements as the requirements are that : For sets to be equal, they must both contain the exact same number and type of elements. Thus because the type of elements in both sets were not stated, it is possible that Set A and Set B could be equal, but at the same time they maybe equal.

龍且(Tan Long Ju)



---------------------------

多分。彼らは要素の正確な同じ数と種類が含まれている場合2セットは同じです。しかし、この場合には、決定するのに十分な情報がセットが等しいか、互いに素であるが存在します。質問だけAの要素数​​がBの要素の数に等しいことを述べたように、これはそうです
N（A）= N（B）
要素が全く同じであっても異なっていた場合にこのように、未知です。
さて、集合が等しいこととしましょう​​。したがって、A = B
例は次のようになります。
A = {X：X> 0であるが、ある数<13です}
B = {X：xが> 1である数であるが、ある<13}
このように：
A = {1,2,3,4,5,6,7,8,9,10,11,12}
B = {1,2,3,4,5,6,7,8,9,10,11,12}
 だから、どちらもまったく同じ同じで、要素の型が含まれているとして、A = B。
しかし、A≠B（まだアンとBの両方が同じ数の要素を持つことを問題に記載されているため）の要素が異なる場合
例は次のようになります。
A = {X：xが奇数である<13}
B = {X：xが偶数<13です}
このように：
A = {1,3,5,7,9,11-}
B = {2,4,6,8,10,12}
だから、彼らは両方の要素ではなく、正確に同じ数の要素が含まれているとして≠B。
セットが等しくなるようにするために、彼らは両方とも正確に同じ数と種類のが含まれている必要があります。したがってによる質問の曖昧には、A = Bが両方のセットが要件と同じ数の要素を持っていることであっても、と仮定することができません要素。両方のセット内の要素の型が記載されていなかったのでこのように、セットAとセットBが等しいが、同時に彼らは多分等しくなる可能性があります。

龍且(Tan Long Ju)

equal, because each of these 2 sets A and B might contain the same no of elements. A( 2,3) B(3,2). both contain the same no of elements regardless of their arrangement. hence, A=B

not equal, because sets A and B might contain diff no of elements. A(3,4) B(2,1). both of them do not have a common element. hence, A isnt equal to B

merry christmas everyone

- jiarong

Long ju, are you sure your elements for set B is correct..the one where you stated that x takes value more than 1 but less than 13..

But if the list of elements r da same then of course A=B lah. 

(eg. A{1,2,3,4,5} B{1,2,3,4,5}) [A=B]

If they r not the same but still contain the same number of elements then A does not = B lahhhhh. 

(eg. A{1,3,5,7,9} B{2,4,6,8,10} ) [A does not = B]

~Joshua Lam here!!!

If yes because they both could have the same element thus equal no. of elements.

No because each set could have different elements but have the same no. such as A could be A=(1,3,5) while B is B=(2,4,6). They both have different elements but have the same no. of elements. It's like schrodinger cat

-Abdillah

★Yes, because they have the same number of elements and the values of the elements can have the same value thus A=B

Also cus

♩You're hot then you're cold
You're yes then you're no♪
♫You're in then you're out
You're up then you're down♫

Eg. A(2,3) and B=(3,2), this makes A=B

A(1,2) and B=(3,4), this does not make A=B

Curtis

If A and B are two sets such that n(A) = n(B),

For example: Lets assume that A{1,3,5,8} and B{8,5,3,1}. These sets will qualify that n(A)=n(B) and that A=B.

However if A{1,3,5,8} and B{2,4,6,9}, then the sets will still qualify for n(A)=n(B), but A=B.

Hence, the sum of the number of elements in the set can never prove that the elements in the sets are the same.

-Matthew

Both n(A) and n(B) are equal thus making the criterion of same number of elements fulfilled. Making it half way through the same set journey.

But however, in terms of lists of elements, the information provided was too vague and thus impossible to find out because I may have groceries in one bucket and toiletries in the other.

Therefore, I dare not say A=B

: )

An example is that a possible set B could well be composed of a musician, a doctor and a historian, leaving us with:

B = {musician, doctor, historian}

such that n(B) = 3

If another set A pops up comprising of a bat, a rat and Hai Xiang, it would be written as:

A = {bat, rat, Hai Xiang}

such that n(A) = 3

Through thorough thinking and time-consuming things, I have discovered that n(A) = n(B). However, by conceiving careful calculations upon this conclusion, I have escaped my crummy conundrum and now am enlightened to figure out that A does not equal to B. To sum up all my intellectually superior calculations, it is basically that set A and set B do not have the same elements.

This tells me that different sets may hold the same amount of elements, but they are only equal if they contain the same amount of the same elements.

Happy Easter*.

-Arif

Eg: If A{10,20,30,40} and B{20,10,40,30}, n(A)=n(B) and A=B as the elements in the sets are the same(order does not matter). This is called an equal set.

However, if A{10,20,30,40} and B{60,70,80,90}, n(A)=n(B) BUT A≠B because the elements in the sets are different. Although sets A and B in this case have completely different elements in their sets, they have the same amount of elements in their sets which makes them equivalent sets.

-keir

For example, when A and B are two sets, when n(A)=n(B) they could contain the same number of elements in their sets but that does not mean that the elements are the same. When they have the same number of elements in the set that makes them equal elements but they might not have the same element. Take for example,A={30,31,33} and B={40,41,42} they both have the same number of elements and thus are equal sets but that does mean A=B. 

Min KAi