1
vote
3answers
804 views

Finding The Equivalence Class

Okay, so the question I am working on is, "Suppose that A is a nonempty set, and $f$ is a function that has A as its domain. Let R be the relation on A consisting of all ordered pairs $(x, y)$ such ...
0
votes
1answer
163 views

Equivalence Relations with inverses?

I have no Ida how to approach this problem: Suppose S is a relation on a set X which is reflexive and transitive. Then S intersection S inverse is an equivalence relation on X. Any idea on how I ...