Shade (C ⋃ B)' on the Venn diagram.
Understand the Problem
The question requires us to shade the region (C ⋃ B)' on a Venn diagram. This notation represents the complement of the union of sets C and B. This means we need to identify the region that contains elements that are in the universal set U, but are not in either C or B.
Answer
Answer for screen readers
Steps to Solve
- Identify the union of sets C and B ($C \cup B$)
The union of two sets includes all elements that are in either set. So, $C \cup B$ includes everything inside circle C, everything inside circle B, and everything inside the overlapping region of the two circles.
- Determine the complement of the union of C and B ($(C \cup B)')$
The complement of a set includes everything in the universal set ($U$) that is not in the original set. Therefore, $(C \cup B)'$ includes everything in the rectangle $U$ that is outside of both circles $B$ and $C$. This includes the area inside circle A that is not overlapping B or C, and the area within the rectangle $U$, but outside all three circles $A$, $B$, and $C$.
AI-generated content may contain errors. Please verify critical information
