[Discrete Mathematics] Set Operations

Today we look at set operations, including unions, intersections, complements, venn diagrams, and differences.

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[victorcorcini]

Trev Tutor I want to thank you for your videos. I like a lot theirs. You helped me and others several people. Thank you very much.

[darkkrowbeats]

You really make these topic easy to understand, and I have been able to learn and complete my h.w thanks to you!

[derrickg]

Thanks for all the videos you've posted!

[JasonLeiber]

Your videos really help us, thank you so much for your time making these vids!

[corporalwaffles]

Doesn't A complement also have to include 0, since 0 is not a positive integer, but still is in the universe of integers?

[njmusama]

Thanks alot good and informative >>> I wish you are feeling well now

[olenalaba]

Great videos, I am learning a lot, one mistake you have done with "BuA" is number 9 is actually repeating so it shouldn't be included.

[bombito]

your coming in clutch man!...not too many videos on discrete and good ones

[akshaysmart]

suppose A1, A2, ....A30 are thirty sets each having 3 elements and B1, B2, ... Bn are n sets each having 3 elements.Let union i=1 to 30 Ai=union j=1 to 30 Bj=s and each element of S belongs to exactly 10 of Ai's and exactly 9 of Bj's.the value of n is equal to???

plz explain this sir????

[Hi_im_metric]

hey, our prof combined Truth tables and These venn Diagrams... Giving stuff like put A -> B in the form of a Venn diagram, The answer was shading everything but A, so is that because A -> B is only true when B is true and A is false? and if so why is everything not in A and B shaded as well?

[jonathanmalmberg]

Hi again!

I have a set problem I can't solve.. A U (B - A) = B U (A /\ B)
I have managed to get to :
A U (B /\ (NOT)A)
Then use distribution:
= (AUB)/\(AU(NOT)A)
= (AUB)/\ u

Not sure if I just disproved or if/where I'm wrong.

[volo]

i dont understand why many times the union operation is also called the "or" operation if union can also include elements that are common to both A and B (intersection)

[mohammadsunasra]

What will be the cardinality of |A U B|=? . DO we have to count 9 2 times for that?

[rajaryanagrawal]

so will A belong to U?
('belong to' in place of symbol 'epsilon')

[valeriamartinez]

Could you tutor me for the rest of my life? thanks

[officialversetile]

whats the name of that free book again?

[pcbingemaster]

Considering all sets have nothingness in common...Having, (AnB)nC={{}}nC={{}}.. Why would this be wrong?

[M.C.]

"BuA = {3, 6, 9, 12, 1, 4, 9, 16}" you repeated 9 so is this therefore wrong?
I'm watching in my iPad not sure if you have corrected this mistake with annotations...

[TechWithVince]

is C U (A - C) = UNIVERSAL SET ?
because C U (C -A) = C
and A U (A - C) = A

Am i missing something or is this a mistake?

[fuzzypenguino]

Cu(A-C) does not equal A, it equals AuC .... ??!