If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 4, 6, 8}, what is A'?
Answer and explanation
Correct answer: {1, 3, 5, 7, 9}
The complement A' contains every element of the universal set U that is not in A. Starting with U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, remove 2, 4, 6, and 8. The remaining elements are {1, 3, 5, 7, 9}. Zero cannot be included because it is not an element of the stated universal set, so option B is incorrect.
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 every element of the universal set U that is not in A. Starting with U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, remove 2, 4, 6, and 8. The remaining elements are {1, 3, 5, 7, 9}. Zero cannot be included because it is not an element of the stated universal set, so option B is incorrect.
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.
