Indicate whether the following statement is true or false?

? True False  1. If $\ S_1$ is of dimension 3 and is a subspace of $R^4$, then there can not exist a subspace $S_2$ of $R^4$ such that $S_1 \subset S_2 \subset R^4$ with $S_1 \ne S_2$ and $S_2 \ne R^4$.