Question

Let's define a relation r on as follows (x,y) r (p,q) if and only if which properties does this relation have?

Answer 1

The relation r has reflexive, symmetric, and transitive properties.

Step-by-step explanation:

The relation r defined as (x,y) r (p,q) is a mathematical relation that has certain properties. The properties of this relation are:

1. Reflexive property: Every element x is related to itself in the relation r, which means (x,x) is in the relation.
2. Symmetric property: If (x,y) is in the relation, then (y,x) is also in the relation.
3. Transitive property: If (x,y) is in the relation and (y,z) is in the relation, then (x,z) is also in the relation.

These properties define how elements are related in the relation r.