1. **Problem Statement:** Describe the shaded regions in the Venn diagram using set notation. 2. **Given:** - Universal set $U$. - Two intersecting sets $A$ and $B$. - $C$ is the intersection $A \cap B$. - $D$ is a subset inside $B$. - The shaded regions are $C$ and $D$. 3. **Step 1: Understand the shaded regions.** - $C$ is the intersection of $A$ and $B$, so $C = A \cap B$. - $D$ is a subset inside $B$, so $D \subseteq B$. 4. **Step 2: Express the shaded region as a union.** The shaded region includes all elements in $C$ or in $D$, so the shaded region is: $$ C \cup D $$ 5. **Step 3: Substitute $C$ with $A \cap B$.** $$ (A \cap B) \cup D $$ 6. **Final answer:** The shaded region in set notation is: $$ (A \cap B) \cup D $$ This means all elements that are in both $A$ and $B$, or in $D$ inside $B$. --- **Note:** The second part of the question asks to draw and shade $(A \cap C) \cup (C' \cap B)$, but per instructions, only the first question is solved here.