In a Venn diagram, the rectangle represents U and the circle represents A. What is the region outside the circle but inside the rectangle called?
Answer and explanation
Correct answer: \(A^c\), the complement of A
In a Venn diagram, the rectangle represents the universal set U, so only the region inside that rectangle is considered. The circle represents A. The part inside U but outside the circle contains all elements of U that are not in A; by definition, this is the complement \(A^c=U\setminus A\). Therefore option A is correct. The circle itself represents A, while \(A\cap U=A\) represents the circle, not the outside region.
Frequently asked questions
What is the correct answer to this question?
\(A^c\), the complement of A
Why is this the correct answer?
In a Venn diagram, the rectangle represents the universal set U, so only the region inside that rectangle is considered. The circle represents A. The part inside U but outside the circle contains all elements of U that are not in A; by definition, this is the complement \(A^c=U\setminus A\). Therefore option A is correct. The circle itself represents A, while \(A\cap U=A\) represents the circle, not the outside region.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.
