Relations between sets

Question

I have a mutiple choice question on finding the relation but I seem to be blanking. Can someone explain to me how this works?

Let $X = \{2,3,4\}$ and $Y = \{0,1,2,3,4\}$. If a relation $P$ between $X$ and $Y$ is defined by: $$xPy\text{ if }x < 2y$$ then which of the ordered pairs listed below belong to $P$?

The answers available are

A (2,0)

B (2,1)

C (2,2)

D (2,3)

E (2,4)

F (3,0)

G (3,1)

H (3,2)

I (3,3)

J (3,4)

K (4,0)

L (4,1)

M (4,2)

N (4,3)

O (4,4)

P none of them

Thanks, it's appreciated.

Answer 1

Hint: The relation contains the ordered pair $(3,4)$, since $3 < 2(4)$. The relation doesn't contain the ordered pair $(4,1)$, since $4 \geq 2(1)$. Hopefully you get the idea and can test the other ordered pairs yourself.