Consider the following two binary relations on the :\\ and . Then...

(c) : is symmetric but is not transitive as but ....

Consider the following two binary relations on the setA = { a,b,c} : R_{1} = {(c,a),(b,b),(a,c),(c,c),(b,c),(a,a)} and R_{2} = {(a,b),(b,a),(c,c),(c,a),(a,a),(b,b),(a,c)}. Then: Relation (Mathematics)

Consider the following two binary relations on the

setA = \{ a,b,c\}

:\\

R_{1} = \{(c,a),(b,b),(a,c),(c,c),(b,c),(a,a)\}

and

R_{2} = \{(a,b),(b,a),(c,c),(c,a),(a,a),(b,b),(a,c)\}

. Then

R_{1}

is not symmetric but it is transitive\\

both

R_{1}

and

R_{2}

are transitive\\

R_{2}

is symmetric but it is not transitive\\

both

k_{1}

and

k_{2}

, are not symmetric