Question

Let A = {6, 8} and B = {1, 3, 5} Let R= {(a, b) / a ∈ A, b ∈ B, a-b is an even number}
Show that R is an empty relation from A to B

Answer 1

Solution:

A = {6, 8} and B = {1, 3, 5}
here R= {(a, b) / a ∈ A, b ∈ B, a-b is an even number}

we know that set A contains even numbers and set B contains odd numbers only,
on subtracting A and B we get always odd number,thus R is an empty relation.

(6,1) (6,3), (6,5),(8,1),(8,3),(8,5)

all those ordered pair gives odd numbers,thus R cannot contains any of the ordered pair,thus R is an empty relation from A to B.

Hope it helps you.

Answer 2

here is your answer

study the chapter carefully