If U = {1, 2, 3, 4, 5, 6, 8} and A = {2, 4, 6, 8}, what is A′?
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Answer and explanation
Correct answer: {1, 3, 5}
The complement A′ contains exactly those elements of the universal set U that are not members of A. Starting with U = {1, 2, 3, 4, 5, 6, 8}, remove 2, 4, 6, and 8, because these belong to A. The elements left are 1, 3, and 5. Hence A′ = U − A = {1, 3, 5}.
Frequently asked questions
What is the correct answer to this question?
{1, 3, 5}
Why is this the correct answer?
The complement A′ contains exactly those elements of the universal set U that are not members of A. Starting with U = {1, 2, 3, 4, 5, 6, 8}, remove 2, 4, 6, and 8, because these belong to A. The elements left are 1, 3, and 5. Hence A′ = U − A = {1, 3, 5}.
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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