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Class 10MathematicsSetsComplement of a Set and Its PropertiesEasyLevel 9

If U = {1,2,3,4,5,6,7,8,9} and A = {x : x ∈ U and x is not divisible by 2}, what is A′?

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Answer and explanation

Correct answer: {2,4,6,8}

Within the universal set U, the numbers not divisible by 2 are the odd numbers, so A = {1,3,5,7,9}. The complement A′ contains every element of U that is not in A. Therefore, A′ consists of the even members of U, namely {2,4,6,8}; 10 is excluded because it is not in U.

Tags

setscomplementuniversal-seteven-odd-numbersComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{2,4,6,8}

Why is this the correct answer?

Within the universal set U, the numbers not divisible by 2 are the odd numbers, so A = {1,3,5,7,9}. The complement A′ contains every element of U that is not in A. Therefore, A′ consists of the even members of U, namely {2,4,6,8}; 10 is excluded because it is not in 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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