Algebra 4 - Complement and Relative Complement

The complement of a set is the collection of all elements which are not members of that set. Although this operation appears to be straightforward, the way we define "all elements" can significantly change the results.

[ankkol]

Watching in the 2021
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[Jiteshlast]

What if, In relative compliment of A with A, like this A\A, then will it become empty set?

[judithjamisola]

I will get perfect score with this examples tnx why u

(you are very helpful)

[victornaut]

Just like programming when it comes to lexical environment :D really well explained!!

[mraccident]

5:07 it's not a "result", but just something that equals to what is on the left side of the equals-sign.

[elvisvasquez]

I'm currently taking Discrete Mathematics this is helping me out alot!

Thank you very much! :)

[emyuan]

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[ma.rhomindadelacruz]

This will surely help my students keep it up!

[magtangobclair]

this will be very useful in my lessons in math.... tnx very much

[eimaldorani]

Well Explained. Thanks.

However, I'm wondering about the tobacco smoking pipes.
tobacco smoking pipes!? Are you promoting tobacco !?

[thingintresting]

It is great to see that on changing the universal set the complement of the given set got also changed

[brainpill]

i was crying to harr because i didn't know what to do, then i remembered "oh, youtube lectures exist" HAHAHAHAHAHA thank you :]

[SEdgyVA]

The only unary numerical operation is the absolute value

[tajwarism]

would we also write that A is a subset of U in the notation for the complement of A

[abdelrahmanhamdy]

what i need to learn to make like this video

[SaharaForce]

Strange that in the US the set of natural number excludes the element 0
In Europe the set of natural numbers includes the element 0

[barryallen]

Hello MyWhyU, I have a quick question. In the other tutorials, you have said that for a set to be termed as a Subset, all the elements of one set should be contained in the other set. What I don't understand is, if the elements of a set "A" are not in the universal set( "U" which then becomes the complement of set "A"), how then do you go on to say that we form a complement of a set "A" where "A" is a subset of "U", yet, elements of set "A" are not in the Universal set. Please help me understand. I'm sorry about complicating the question, that is the best way I could put it.

[ibrahimnoor]

Very nice plese do on rational or irrational

[SEdgyVA]

I just realized that while there are a lot sets of real numbers that are properly defined in mathematics, only two of them rely on the concept of complement for their definition, the irrational numbers and the transcendental numbers.
Also, for the transcendental numbers, you practically never define the set it's a complement of to define it as its complement

[Neptoid]

Exponentiation is a binary operation, but squaring a number is a unary operation. This is because you are excluding the other number by definition, but wasn't there a less confusing way you could have exemplified what a unary operation was?