Find subsets $W$ and $V$ of $\mathbb{R}^3$ such that $\mathbb{R}(W\cap V)\neq\mathbb{R}W\cap \mathbb{R}V$. Find subsets $W$ and $V$ of $\mathbb{R}^3$ such that $\mathbb{R}(W\cap V)\neq\mathbb{R}W\cap \mathbb{R}V$.
I'm not sure how to find these sets. I'm sure there is an elementary solution. Any solutions or hints are greatly appreciated. 

Take $U$ and $V$ to be non empty disjoint subsets of the $x$-axis.
