Discrete Math - 9.1.2 Properties of Relations

Exploring the properties of relations including reflexive, symmetric, anti-symmetric and transitive properties.

Textbook: Rosen, Discrete Mathematics and Its Applications, 7e

[joshuaf.]

I'd be lying if I said I didn't watch this multiple times before it made sense about symmetric . Your explanation is on point, my work rattled mind is not! I had to realize the "whenever" condition (err.. proposition) must be met first for it to be in the set.

[ItsPouring]

And I used to think Charlie Baltimore was _"Somethin!'"_ That was before I met your video tutorials – You are *_killin'_* 💣 it!! 💕🦸🏻‍♀️ Thank 💗You!!🌟💜

[Yason]

Thank you! Everything is perfect! I just didn't understand about R3 antisymmetric.

[Salvation]

For the Symmetric slide at 4:09, a+b will not always be lesser or equal to 3, it depends on the variables of A and B, so shouldn't that be that they are not symmetric?

[ismailkassim]

At 1.27, I am not sure how the relation is reflective. There can be cases where a <= a but there are also cases where a < a which means it is not reflective. For example 5 < 6 falls in the <= relationship but it is not reflective

[characters]

Anybody from Igor Poliakov's MATH 1190 course? 🤣

[VirtualNigerian]

In R1 can't it be said that a=2 and b=3 so R1 isn't true because it doesn't work for all ?

[freddy]

Im sorry but this is really not a great explanation. You sound like you're rushing and not breaking down the definition into laymens terms, not starting out with more fundamental examples.