Identify the properties satisfied by the following relations by putting Y(yes) or N (no) on the corresponding box.

Let R be a relation on the set {1,2,3,4}

a.      R = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,3),(4,4)}

b.      R = {(1,2),(1,3),(1,4),(3,2),(3,4),(4,2)}

For c, list the elements of R first.

c.      R = {(x,y) | (x-y) = 2}

 

-Reflexive

-Irreflexive

-Symmetric

-Antisymmetric

-Transitive

-Partial Order

a.

 

 

 

 

 

b.

 

 

 

 

 

c.

 

 

 

 

 

 

2. Draw the digraph then write the domain and range of the relations in b, and c.​