If the universal set is U = {1, 2, 3, 4, 5} and A = {2, 5}, which of the following statements is correct?
Answer and explanation
Correct answer: 4 ∈ Aᶜ
The complement of A with respect to U is Aᶜ = U \ A = {1, 3, 4}. Therefore, 4 belongs to Aᶜ, making option A correct. Statement B is false because 2 belongs to A, statement C is false because 5 belongs to A, and statement D is false because 1 is not in A. The result follows directly by removing the elements of A from U.
Frequently asked questions
What is the correct answer to this question?
4 ∈ Aᶜ
Why is this the correct answer?
The complement of A with respect to U is Aᶜ = U \ A = {1, 3, 4}. Therefore, 4 belongs to Aᶜ, making option A correct. Statement B is false because 2 belongs to A, statement C is false because 5 belongs to A, and statement D is false because 1 is not in A. The result follows directly by removing the elements of A from U.
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.
