How to deal with an $xy\le 1$ constraint?

Question

I have to solve the following optimization problem: $$ \begin{align*} \min_{x,y} &\{-x-y\} \\ \text{such that} \\ y &\ge 3 \\ y &\le 30 \\ x &\ge 0 \\ xy &\le 1 \\ \end{align*} $$ I want to use a second order cone programming (SOCP) solver because the rest of my problem (not shown here) can be formulated as a second order cone program. However, my problem is the $xy\le 1$ hyperbolic constraint that has the inequality "the wrong way" to be written as a second order cone. It would be great if you could show me for this toy problem how one might deal with the $xy\le 1$ constraint. Thanks a lot!