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Subjects
Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 10

If U = {1, 2, 3, 4, 5, 6} and A = {1, 2, 3, 4}, what is U − A?

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Answer and explanation

Correct answer: {5, 6}

U − A means the elements that belong to U but do not belong to A. Removing 1, 2, 3, and 4 from U leaves only 5 and 6. Therefore U − A = {5, 6}, which is also Aᶜ relative to U, so option A is correct. Option B is A itself, option C removes too few elements, and option D fails to remove A.

Tags

setscomplementset-differencefinite-setsComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{5, 6}

Why is this the correct answer?

U − A means the elements that belong to U but do not belong to A. Removing 1, 2, 3, and 4 from U leaves only 5 and 6. Therefore U − A = {5, 6}, which is also Aᶜ relative to U, so option A is correct. Option B is A itself, option C removes too few elements, and option D fails to remove A.

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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