Question

Show that the relation R on a set R of all real numbers
defined by R = { (a, b): Ia – bI is even} is an equivalence relation. answer

Answer 1

Answer:

If R ia a relations from a finite set A having m elements to a finite set B having n elements, then the number of relations

from A to B is

(a) 2ᵐⁿ (b) 2ᵐⁿ - 1 (c) 2mn (d) mⁿ