1.

Show that the relation R in the set of natural number N given by R ={(x,y):x is odd and y=2x}is an equivalence relation ​

Answer»

Answer:

Here X is odd number so

R = {(1,2), (3,6), (5,10),....}

so this relation is not reflexive because (x,x) does not belongs to R.

this relation is also not SYMMETRIC because (x,y) belongs to R but (y,x) does not belongs to R.

this relation is also not transitive because (x,y) belongs to R but (y,z) and (x,z) does not belongs to R.

so this relation is not equivalence.

MAY YOUR QUESTION IS WRONG


Discussion

No Comment Found

Related InterviewSolutions