Three relations `R_(1),R_(2)andR_(3)` are defined on set `A={a,b,c}` as follows :
`R_(3)={(a,b),(b,c),(c,a)}`
Discuss each of them from the point of view of being reflexive, symmetric and transitive.

Three relations R_(1),R_(2) and R_(3) are defined on a set A={a,b,c}: as for R_(1)={(a,a),(a,b),(a,c),(b,b),(b,c),(c,a),(c,b),(cc)} (a Find whether or not each of the relations R1, is Symmetric,reflexive or transitive.

R_(3)={(b,c)} is defined on set A={a,b,c}. Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

Let A={a,b,c) and the relation R be defined on A as follows: R={(a,a),(b,c),(a,b)} Then,write minimum number of ordered pairs to be added in R to make it reflexive and transitive.

Three relations R_(1),R_(2) and R_(3) are defined on set A={a,b,c} as follow: (a,a),(a,b),(a,c),(b,b),(b,c),(c,a),(c,b),(c,c)}R_(2)={(a,b),(b,a),(a,c),(c,a)}R_(3)={(a,b),(b,c),(c,a)} Find whether each of R_(1),R_(2),R_(3) is reflexive,symmetric and transitive.

R_(2)={(a,a)} is defined on set A={a,b,c}. Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

Check whether the relation R in R defined by R={(a,b):a<=b^(3)} is reflexive,symmetric or transitive.

Check whether the relation R on R defined by R={(a,b):a<=b^(3)} is reflexive,symmetric or transitive.

R_(1)={(a,a),(a,b),(a,c),(b,b),(b,c),(c,a),(c,b),(c,c)} is defined on set A={a,b,c}. Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

Given a set A = {a, b, c, d}, then the relation: R={(a,a),(b,b),(c,c),(d,d)} is reflexive?.

If R={(a,a),(a,c),(b,c),(b,b),(c,c),(a,b)} on the set X=(a,b,c) , then how many subsets of R are reflexive relations?