Question

For the relation given, do the following:

Answer 1

Answer:

1.No

2.No

3.Transitive

Step-by-step explanation:

We are given that a relation

$R_3=${(0,0),(0,1),(0,2),(1,2)}

If a relation is reflexive then (a,a) belongs to relation for each a belongs to given set.

A relation is symmetric

If (a,b)$\in R$ then, $(b,a)\in R$

A relation is transitive

(a,b) and (b,c)$\in R$ then, (a,c)$\in R$

1.The relation is not reflexive because (1,1) does not  belongs to $R_3$

2.The relation is not symmetric because (2,0)$in R_3$

3.It is transitive because (0,1) and (1,2)$\in R_3$ then (0,2)[tex\in R_3[/tex]