Question

Show that the relation R in the set A = {1, 2, 3, 4, 5) given by
R = {(a, b): a - b is a multiple of 4 ) is an equivalence relation.
Check whether the function f R-R defined by f(x) = 4+ 3x is one - one and onto. If to find the inverse of f.​

Answer 1

Question :

Show that the relation R in the set

A = {1, 2, 3, 4, 5) given by

R = {(a, b): a - b is a multiple of 4 ) is an equivalence relation.

Theory :

if a realtion R is an equivalence relation

it is symmetric,

reflexive

and transitive