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

We have,

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

It is given that,

R = {(x, y) : the difference between x and y is odd, $xϵA,yϵB$}

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

$(1,4)ϵR,(1,6)ϵR,(2,9)ϵR,(3,4)ϵR,(3,6)ϵR,(5,4)ϵR$ and $(5,6)ϵR$

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

Hence, relation R in roster form is {(1, 4), (1, 6), (2, 9), (3, 4), (3, 6), (5, 4), (5, 6)}