If U={1,2,3,4,5,6} and A'={2,4,6}, what is A?
Answer and explanation
Correct answer: {1,3,5}
The complement A' contains exactly those elements of U that are not in A. Therefore A is obtained by removing A' from the universal set: A=U\A'. Removing 2, 4, and 6 from {1,2,3,4,5,6} leaves {1,3,5}. Hence A={1,3,5}, so option A is correct. The universal set is essential because complements are always relative to it.
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 U that are not in A. Therefore A is obtained by removing A' from the universal set: A=U\A'. Removing 2, 4, and 6 from {1,2,3,4,5,6} leaves {1,3,5}. Hence A={1,3,5}, so option A is correct. The universal set is essential because complements are always relative to it.
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.
