Question

A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y) : the difference between x and y is odd : $xϵA,yϵB\}.$ Write R in roster form.

Answer 1

Here A = {1, 2, 3, 5} and B = {4, 6, 9}, $xϵA,yϵB$

$\therefore$ x - y = (1 - 4), (1 - 6), (1 - 9), (2 - 4),

(2 - 6), (2 - 9), (3 - 4), (3 - 6),

(3 - 9), (5 - 4), (5 - 6), (5 - 9)

x - y = - 3, -5, -8, -2, -4, -7, -1, -3, -6, 1, -1, -4

$\therefore R=$ {(1, 4), (1, 6), (2, 9), (3, 4), (3, 6), (5, 4), (5, 6)}