If U = {1, 2, 3, 4, 5} and A = {2, 4}, which of the following is a subset of the complement of A?
Answer and explanation
Correct answer: {1, 3}
The complement of A is found relative to the universal set U: A′ = U − A. Removing 2 and 4 from U gives A′ = {1, 3, 5}. A set is a subset when every one of its elements belongs to the larger set. Thus {1, 3} is a subset of {1, 3, 5}. The other choices contain 2 or 4, which are members of A and hence cannot belong to A′.
Frequently asked questions
What is the correct answer to this question?
{1, 3}
Why is this the correct answer?
The complement of A is found relative to the universal set U: A′ = U − A. Removing 2 and 4 from U gives A′ = {1, 3, 5}. A set is a subset when every one of its elements belongs to the larger set. Thus {1, 3} is a subset of {1, 3, 5}. The other choices contain 2 or 4, which are members of A and hence cannot belong to 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.
