# Thread: Equivalence Relation help!

1. ## Equivalence Relation help!

R is an equivalence relation. Find a compliant, where a is any element in the set on which the relation is defined.
Let R1 and R2 be relations on A.

2. Originally Posted by angelfire80
R is an equivalence relation. Find a compliant, where a is any element in the set on which the relation is defined.
Let R1 and R2 be relations on A.
Sorry, what is your question?

3. ## Help

If r1 and r2 are both reflexive is R1 intersect r2 reflexive? What about r1 union r2

4. Originally Posted by angelfire80
If r1 and r2 are both reflexive is R1 intersect r2 reflexive? What about r1 union r2
A relation is reflexive if and only if the relation contains the diagonal, $\Delta$.
Would the intersection contain $\Delta?$
How about the union?