If the universal set U = {1, 2, 3, 4, 5} and A = {2, 5}, what is the complement A′?
Answer and explanation
Correct answer: {1, 3, 4}
The complement A′ is determined relative to the universal set U. It contains all elements of U that are not in A. From U = {1, 2, 3, 4, 5}, remove 2 and 5, the elements of A. The remaining elements are 1, 3, and 4. Therefore, A′ = {1, 3, 4}. Without specifying U, the complement cannot be determined uniquely.
Frequently asked questions
What is the correct answer to this question?
{1, 3, 4}
Why is this the correct answer?
The complement A′ is determined relative to the universal set U. It contains all elements of U that are not in A. From U = {1, 2, 3, 4, 5}, remove 2 and 5, the elements of A. The remaining elements are 1, 3, and 4. Therefore, A′ = {1, 3, 4}. Without specifying U, the complement cannot be determined uniquely.
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.
