Math Problem Statement
Identify the shaded area in the given Venn diagram.
Solution
The diagram shows two sets, labeled A and B, within a universal set (the rectangle). The shaded area corresponds to the region outside of set , while it still includes some parts of set .
This shaded area is represented by , which means "not A" or the complement of set . Hence, the correct answer is:
- A'.
Would you like further clarification on Venn diagrams or set operations?
Here are some related questions:
- What is the complement of a set in set theory?
- How do you represent the union of two sets in a Venn diagram?
- What does (intersection of two sets) represent in a Venn diagram?
- Can a Venn diagram have more than two sets? How does it change visually?
- What does the shaded region in a Venn diagram represent mathematically?
Tip: The complement of a set , denoted , includes everything in the universal set except the elements of .
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Math Problem Analysis
Mathematical Concepts
Set Theory
Venn Diagrams
Complements of Sets
Formulas
A' = Universal Set - A (Complement of Set A)
Theorems
Set Complement Theorem
Union and Intersection in Set Theory
Suitable Grade Level
Grades 9-12