1. The problem asks to identify the set notation that matches the shaded area in a Venn diagram with three sets: P, Q, and R. 2. The shaded area covers the union of circles P and Q but excludes circle R. This means the shaded region includes all elements in P or Q but not in R. 3. In set notation, the union of P and Q is written as $P \cup Q$. 4. The complement of R (elements not in R) is written as $R'$. 5. The intersection of the union $P \cup Q$ with the complement $R'$ is written as $(P \cup Q) \cap R'$. 6. Comparing this with the options given: - a. $P \cap Q$ is the intersection of P and Q only, which is not the shaded area. - b. $Q \cap R \cap P'$ is the intersection of Q and R excluding P, which is not correct. - c. $(P \cup Q) \cap R'$ matches the shaded area exactly. - d. $P' \cap R' \cap Q$ is the intersection of Q excluding P and R, which is not correct. 7. Therefore, the correct set notation is option c: $(P \cup Q) \cap R'$. Final answer: $(P \cup Q) \cap R'$