Question

Let R be the relation on X = {1,2,3} defined by (x,y) ∈ R if x<y

1. List the elements of R (ordered pair)
2. Find the range of R
3. Find the domain of R
4. Draw the Diagraph of R below
5. Identify the properties of R (kind of graph)

Answer 1

$1: \left( 1,2 \right) ,\left( 1,3 \right) ,\left( 2,3 \right) \\2:range\left( R \right) =\left\{ 2,3 \right\} \\3:dom\left( R \right) =\left\{ 1,2 \right\}$

4:

5: reflexive - no, symmetric - no, transitive - yes