If U = {1, 2, 3, 4, 5} and A = {2, 4}, what is the complement A'?
Answer and explanation
Correct answer: {1, 3, 5}
The complement A' contains exactly those elements of the universal set U that are not members of A. Removing 2 and 4 from U gives A' = U \ A = {1, 2, 3, 4, 5} \ {2, 4} = {1, 3, 5}. Option A is the original set A, option C is U itself, and option D is incorrect because some elements remain after removing A.
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 the universal set U that are not members of A. Removing 2 and 4 from U gives A' = U \ A = {1, 2, 3, 4, 5} \ {2, 4} = {1, 3, 5}. Option A is the original set A, option C is U itself, and option D is incorrect because some elements remain after removing A.
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.
