If U = {2, 4, 6, 8, 10} and A = {4, 8}, which one is A′?
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Answer and explanation
Correct answer: A′ = {2, 6, 10}
To find A′, take the elements of the universal set U that are absent from A. The universal set contains 2, 4, 6, 8, and 10; removing 4 and 8 leaves 2, 6, and 10. Therefore A′ = U \ A = {2, 6, 10}. Option B repeats A itself, and option D omits 2, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
A′ = {2, 6, 10}
Why is this the correct answer?
To find A′, take the elements of the universal set U that are absent from A. The universal set contains 2, 4, 6, 8, and 10; removing 4 and 8 leaves 2, 6, and 10. Therefore A′ = U \ A = {2, 6, 10}. Option B repeats A itself, and option D omits 2, so option A is correct.
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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