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Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 10

If U = {5, 10, 15, 20, 25, 30} and A = {10, 20, 30}, what is the complement A' relative to U?

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Answer and explanation

Correct answer: {5, 15, 25}

The complement A' relative to U consists of elements that are in U but not in A. Remove 10, 20, and 30 from U = {5, 10, 15, 20, 25, 30}. The elements left are 5, 15, and 25, so A' = {5, 15, 25}. Option B is A itself, while options C and D either retain or omit elements incorrectly.

Tags

setscomplementuniversal_setset_differenceMathematicsClass 10 MCQComplement of a Set and Its Properties

Frequently asked questions

What is the correct answer to this question?

{5, 15, 25}

Why is this the correct answer?

The complement A' relative to U consists of elements that are in U but not in A. Remove 10, 20, and 30 from U = {5, 10, 15, 20, 25, 30}. The elements left are 5, 15, and 25, so A' = {5, 15, 25}. Option B is A itself, while options C and D either retain or omit elements incorrectly.

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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