1. The problem asks to identify which set operation defines the shaded region in the Venn diagram. 2. Given sets: - Universal set \( \xi \) - \( P = \{2, 3\} \) - \( Q = \{3, 4\} \) - Complement of \( Q \), denoted \( Q' = \{2\} \) 3. The shaded region is the part of \( P \) that is outside \( Q \). 4. This corresponds to the elements in \( P \) but not in \( Q \), which is the intersection of \( P \) and the complement of \( Q \), i.e., \( P \cap Q' \). 5. Therefore, the set operation defining the shaded region is \( P \cap Q' \). 6. Among the options: - A: \( P' \cap Q \) means elements not in \( P \) but in \( Q \). - B: \( P \cap Q' \) means elements in \( P \) but not in \( Q \) (matches shaded region). - C: \( P' \cup Q \) means elements not in \( P \) or in \( Q \). - D: \( P \cup Q' \) means elements in \( P \) or not in \( Q \). 7. Hence, the correct answer is option B: \( P \cap Q' \). **Final answer:** \( P \cap Q' \)