1. The problem states that $Q \subseteq (\mathbb{R} - \mathbb{Z})$, meaning the set $Q$ is a subset of the real numbers excluding the integers. 2. This implies every element $q \in Q$ satisfies $q \in \mathbb{R}$ and $q \notin \mathbb{Z}$. 3. In simpler terms, $Q$ contains real numbers that are not integers. 4. For example, numbers like $1.5$, $\sqrt{2}$, or $-3.7$ could be in $Q$, but numbers like $0$, $1$, or $-2$ cannot. 5. This is a set theory notation problem, emphasizing understanding of subsets and set difference. Final answer: $Q$ is a subset of all real numbers excluding integers, i.e., $Q \subseteq \{x \in \mathbb{R} : x \notin \mathbb{Z}\}$.