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Subjects
Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 21

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 3, 5, 7}, and B = {1, 4, 6, 8, 9, 10}, which statement is correct for A and B?

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Answer and explanation

Correct answer: B = Aᶜ

The complement Aᶜ contains all elements of U that are absent from A. Removing 2, 3, 5, and 7 from U leaves {1, 4, 6, 8, 9, 10}, which is exactly B. Therefore, B = Aᶜ. The sets are disjoint and their union is U, but they are not equal and their intersection is not U.

Tags

setscomplementdisjoint-setsunion-and-intersectionComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

B = Aᶜ

Why is this the correct answer?

The complement Aᶜ contains all elements of U that are absent from A. Removing 2, 3, 5, and 7 from U leaves {1, 4, 6, 8, 9, 10}, which is exactly B. Therefore, B = Aᶜ. The sets are disjoint and their union is U, but they are not equal and their intersection is not U.

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.

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