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Class 10MathematicsSetsVenn DiagramsEasyLevel 14

In a Venn diagram, how is the region outside both circles but inside the universal set U represented?

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Answer and explanation

Correct answer: (A ∪ B)′

The union A ∪ B contains every element lying in at least one of the two circles. Therefore, the region outside both circles but still inside the universal set contains all elements that are not in A ∪ B. This is the complement of the union, written as (A ∪ B)′. Hence, option C is correct.

Tags

setsvenn-diagramscomplementunionuniversal-setVenn DiagramsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

(A ∪ B)′

Why is this the correct answer?

The union A ∪ B contains every element lying in at least one of the two circles. Therefore, the region outside both circles but still inside the universal set contains all elements that are not in A ∪ B. This is the complement of the union, written as (A ∪ B)′. Hence, option C is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Venn Diagrams.

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