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Class 10MathematicsSetsPower Set and SubsetsEasyLevel 10

If the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 4, 6, 8, 10}, what is A′?

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Answer and explanation

Correct answer: {1, 3, 5, 7, 9}

The complement A′ contains all elements of the universal set U that are absent from A. The set A contains the even numbers from 2 through 10, so removing them from U leaves the odd numbers 1, 3, 5, 7, and 9. Thus A′ = {1, 3, 5, 7, 9}, making option A correct. Option B is A itself, not its complement.

Tags

setscomplementuniversal setodd and even numbersPower Set and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{1, 3, 5, 7, 9}

Why is this the correct answer?

The complement A′ contains all elements of the universal set U that are absent from A. The set A contains the even numbers from 2 through 10, so removing them from U leaves the odd numbers 1, 3, 5, 7, and 9. Thus A′ = {1, 3, 5, 7, 9}, making option A correct. Option B is A itself, not its complement.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.

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