Subjects set theory

Venn Diagram Shading 880597

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem:** Shade the region of the Venn Diagram indicated by the set expression $(A' \cup B) \cap C$. 2. **Understanding the notation:** - $A'$ means the complement of set $A$, i.e., all elements not in $A$. - $\cup$ means union, combining all elements in either set. - $\cap$ means intersection, elements common to both sets. 3. **Step-by-step solution:** - First, find $A'$, the region outside circle $A$. - Then, find $A' \cup B$, which includes everything outside $A$ plus everything inside $B$. - Finally, intersect this with $C$, so we only keep the parts that are also inside $C$. 4. **Result:** The shaded region is the part of $C$ that lies either outside $A$ or inside $B$. This completes the shading for $(A' \cup B) \cap C$.