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Class 10MathematicsSetsVenn DiagramsEasyLevel 14

If A ⊆ B ⊆ C, then what is A ∪ B ∪ C equal to?

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Answer and explanation

Correct answer: C

The relation A⊆B⊆C means every element of A is in B and every element of B is in C. Consequently, all elements of A and B are already contained in C. Taking the union therefore adds nothing beyond C, while every element of C is included in the union. Hence A ∪ B ∪ C=C.

Tags

setsvenn-diagramssubsetunionVenn DiagramsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

C

Why is this the correct answer?

The relation A⊆B⊆C means every element of A is in B and every element of B is in C. Consequently, all elements of A and B are already contained in C. Taking the union therefore adds nothing beyond C, while every element of C is included in the union. Hence A ∪ B ∪ C=C.

Which subject and chapter does this question cover?

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

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