Mathematical proof question: show that if ri<1, then then rj>1 (detail in description)

Question

Let $r_1 , r_2 , ... , r_n $ $ϵ$ $R$ so that $r_1 \times r_2 \times ... \times r_n = 1 $. Prove or disprove: if there exists an $i$ so that $r_i<1$, then there exists a $j$ so that $r_j>1$.

In my course we have only seen the following methods of proofs: direct, by contradiction, contraposition, and induction.

Thanks!