Question

Let A = {1, 2, 3, 5}, B = {4, 6, 9} and R be a relation from A to B defined by R = {(x, y) : x - y is odd}. Write R in roster form.

Answer 1

We have, A = {1, 2, 3, 5} and B = {4, 6, 9}

For the elements of the given sets A and B, we find

4 - 1 = 3, 6 - 1 = 5, 9 - 2= 7, 4 - 3 = 1, 6 - 3 = 3, 4 - 5 = - 1 and 6 - 5 = 1

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