List all the ordered pairs in the relation R = {(a, b) | a divides b}

List all the ordered pairs in the relation

R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6}.

Why isn't every ordered pair combo of the set in the relation *R*? I thought every combo would be part of the relation. For example (2,3) is not in the relation. Why not?

Re: List all the ordered pairs in the relation R = {(a, b) | a divides b}

You may be misunderstanding "a divides b". When you are talking about **integers**, "a divides b" means "divides evenly". That is "a divides b" if and only if b/a is itself an integer. (2, 3) is not in the set because 2 does NOT divide 3. 3/2 is NOT an integer.

Re: List all the ordered pairs in the relation R = {(a, b) | a divides b}