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Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 10

If U = {2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 3, 4, 5}, what is the largest element of A′, the complement of A in U?

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Answer and explanation

Correct answer: 9

The complement A′ contains precisely those elements of the universal set U that are not elements of A. Removing 2, 3, 4, and 5 from U gives A′ = U − A = {6, 7, 8, 9}. The largest element of this set is 9, so option D is correct. The element 8 is in the complement, but it is not the largest element.

Tags

setscomplementuniversal setset differenceComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

9

Why is this the correct answer?

The complement A′ contains precisely those elements of the universal set U that are not elements of A. Removing 2, 3, 4, and 5 from U gives A′ = U − A = {6, 7, 8, 9}. The largest element of this set is 9, so option D is correct. The element 8 is in the complement, but it is not the largest element.

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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