Which region does A′ represent in a Venn diagram?
Answer and explanation
Correct answer: The region outside A but inside U
The complement A′ is defined relative to the universal set U. It contains every element of U that does not belong to A. In a Venn diagram, A is shown as a circle inside the rectangle U, so A′ is the portion of the rectangle outside the circle A. It is not the interior of A, the overlap with B, or the entire universal set. Hence the correct answer is the region outside A but inside U, option B.
Frequently asked questions
What is the correct answer to this question?
The region outside A but inside U
Why is this the correct answer?
The complement A′ is defined relative to the universal set U. It contains every element of U that does not belong to A. In a Venn diagram, A is shown as a circle inside the rectangle U, so A′ is the portion of the rectangle outside the circle A. It is not the interior of A, the overlap with B, or the entire universal set. Hence the correct answer is the region outside A but inside U, option B.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.
