Answer to Question #128179 in Discrete Mathematics for jaya

Question

Let A = {2,4,6} and B = {x,y,z}. State each of the following are relations from A into B.
(i) R1 = {(2,x), (y,4), (6,z)}

Answer 1

(i) R1 = {(2,x), (y,4), (6,z)}

In R1 : it is not reflexive ,because (a,a)$\notin$ R

IN R1:it is antisymmetric, (a,b) (b,a)$\in$ R $\implies$

a=b

In R1 : it is transitivity (a,b)(b,c)$\implies$ (a c)

In relation (2,x) given but not continue to x

(X,?)

so this is transitivity