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Class 10MathematicsSetsVenn DiagramsEasyLevel 15

When A ∪ B is shaded in a Venn diagram, which part remains unshaded?

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Answer and explanation

Correct answer: (A ∪ B)'

The union A ∪ B includes every element belonging to A, to B, or to both. Thus the two circles, including their overlap, are shaded. The only region left unshaded inside U is outside both circles, which is the complement (A ∪ B)'. Hence option D is correct.

Tags

setsunioncomplementVenn diagramsshadingMathematicsClass 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 includes every element belonging to A, to B, or to both. Thus the two circles, including their overlap, are shaded. The only region left unshaded inside U is outside both circles, which is the complement (A ∪ B)'. Hence option D 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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