$E,F$ disjoint subsets of $D$ having no limit point in $D$ ; to show a meromorphic function with poles exactly in $E$ and zeros exactly in $F$

Question

Let $D \subseteq \mathbb C$ be an open set and $E,F$ be disjoint subsets of $D$ having no limit point in $D$ . Then how to show that there there is a meromorphic function in $D$ such that $f$ has a simple pole at every point of $E$ , has a simple zero at every point of $F$ and $f$ has no other poles or zeros ?

I think I have to use both Weierstrass factorization and Mittag-Lefler ; but I am unable to see how to do it . Please help . Thanks in advance