If the universal set is U = {1, 2, …, 12} and A′ = {1, 5, 7, 11}, what is the set A?
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Answer and explanation
Correct answer: {2, 3, 4, 6, 8, 9, 10, 12}
A′ contains the elements of U that are not in A. Therefore, A is obtained by removing 1, 5, 7, and 11 from U. The remaining elements are 2, 3, 4, 6, 8, 9, 10, and 12. Hence A = U − A′ = {2, 3, 4, 6, 8, 9, 10, 12}, so option A is correct. The answer depends on the stated universal set.
Frequently asked questions
What is the correct answer to this question?
{2, 3, 4, 6, 8, 9, 10, 12}
Why is this the correct answer?
A′ contains the elements of U that are not in A. Therefore, A is obtained by removing 1, 5, 7, and 11 from U. The remaining elements are 2, 3, 4, 6, 8, 9, 10, and 12. Hence A = U − A′ = {2, 3, 4, 6, 8, 9, 10, 12}, so option A is correct. The answer depends on the stated universal set.
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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