Proving a Relation is an Equivalence Relation | Example 1

In this video, I go over how to prove that a relation is an equivalence relation. I hope this example helps!
Timestamps:
0:00 Intro
1:06 Proving the Relation is Reflexive
4:12 Proving the Relation is Symmetric
9:12 Proving the Relation is Transitive
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[@casekh7630]

This is awesome man. I totally forgot I could do some basic algebra to make the problem work for me. Appreciate it a ton!

[@d6kk]

as a fellow gym bro taking calculus, you saved my life! just learned how to do delta epsilon proofs under 15 min and got my calc midterm tom!!!

[@BrainGainzOfficial]

Awesome!

[@arjunmohod5227]

A relation R on a set of integers defined as aRb if and only if (a - b) is divisible by m, is a +ve integers. Show that R is an equivalence relation.

[@MfuhValdes-bh9uf]

wow,this was a quick and effective reminder for me,very well explained

[@smaranikapadhi7280]

Thank you so much sir. Finally I got it. Support from Indian fan .

[@21.meassaman73]

beautiful proof ❤

[@paulcochrane6389]

Thank you!

[@SimonSichivula]

Excellent

[@SimonSichivula]

How can you solve this this wuestions:Define a relation on R square\(0,0) by letting (x1,y1)equivalence (x2,y2)if there exists a nonzero real number m such that (mx2,my2).prove that relation defines an eqivalence relation on R square \(0,0).What are the corresponding eqivalence classes ?This equivalence relation defines the projective line,denoted by P(R), which is very important in geometry.

[@kaylar5047]

Nice video! Thank you !

[@BrainGainzOfficial]

You're welcome :)

[@SimonSichivula]

Great

[@SimonSichivula]

Sir brian help on that one

[@cricket2195]

CMPUT 272 gang