If U = {2,4,6,8,10,12} and A = {4,8,12}, what is A'?
Answer and explanation
Correct answer: {2,6,10}
The complement A' contains every element of the universal set U that is not an element of A. Starting with U = {2,4,6,8,10,12}, remove 4, 8, and 12 because they belong to A. The elements left are 2, 6, and 10. Therefore A' = {2,6,10}. Option B is A itself, and the other options omit or incorrectly include elements.
Frequently asked questions
What is the correct answer to this question?
{2,6,10}
Why is this the correct answer?
The complement A' contains every element of the universal set U that is not an element of A. Starting with U = {2,4,6,8,10,12}, remove 4, 8, and 12 because they belong to A. The elements left are 2, 6, and 10. Therefore A' = {2,6,10}. Option B is A itself, and the other options omit or incorrectly include elements.
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.
