Let A = (1,2,3). For x,y `in` A, let x R y iff x < y. Write down R as a subset of `A xx A`.

Let A {1,2,3}, for x,y, in A, let R let xRy if and only if x>y. Write down R as subset of A xx A

Let A = {1, 2, 3, 4} and B = {x,y,z}. Let R be a relation from A into B defined by : R= {(1,x), (1,z), (3,x), (4,y)}. Find the domain and range of R.

Let A = {1, 2, 3,...,14}. Define a relation R from A to A by R = {(x, y) : 3x-y= 0, where x,y in A}. Write down its domain, codomain and range.

Let A = {1, 2, 3, 4,5,6}. Define a relation R from A to A by : R = {(x, y): y= x +1}. Write down the domain, co-domain and range of R.

Let A = {1, 2, 3, 4,5,6}. Define a relation R from A to A by : R = {(x, y): y= x +1}. Depict this relation by arrow diagram.

Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9} . Let R_1 be a relation in X given by R_1 = {(x, y) : x – y is divisible by 3} and R_2 be another relation on X given by R_2 = {(x, y): {x, y} sub {1, 4, 7} or {x, y} sub {2, 5, 8} or {(x, y} sub {3, 6, 9} . Show that R_1 = R_2 .

Let A = (2,3,4,5,6,7,8,9). Let R be the relation on A defined by (x,y):x in A, y in A and x divides y .Find range of R^-1

Let A = (2,3,4,5,6,7,8,9). Let R be the relation on A defined by (x,y):x in A, y in A and x divides y .Find R

Let A = (2,3,4,5,6,7,8,9). Let R be the relation on A defined by (x,y):x in A, y in A and x divides y .Find domain of R