Question

The largest
2. (i) Let R be the relation on the set Z of all integers defined by R=((x,y):x-y is divisible by
n), prove that:
(a) (x, y) ER
(y,x) E R all x, y E Z
(b) (x, y) E Rand ( y. 2) ER
-> (x,z) ER for all x, y, zEZ
(ii) Find the domain and range of the function f(x) =
(ii) Find the domain and range of the function f(x) =
**+x-6​

Answer 1

Answer:

(i) Let R be the relation on the set Z of all integers defined by R=((x,y):x-y is divisible by n), prove that: (a) (x, y) ER (y,x) E R ...