1. **State the problem:** We are given two sets: $$P = \{4, 13\}$$ $$Q = \{4, 7, 8, 10, 11, 13, 14, 15\}$$ We need to find the intersection of sets $P$ and $Q$, denoted as $P \cap Q$. 2. **Recall the definition of intersection:** The intersection of two sets $A$ and $B$, written as $A \cap B$, is the set of all elements that are in both $A$ and $B$. 3. **Find common elements:** Check each element of $P$ to see if it is also in $Q$: - $4$ is in $Q$. - $13$ is in $Q$. 4. **Write the intersection set:** $$P \cap Q = \{4, 13\}$$ **Final answer:** $$P \cap Q = \{4, 13\}$$