If U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {2, 4, 6, 8}, which statement is correct?
Advertisement
Answer and explanation
Correct answer: 9 ∈ Aᶜ
The complement Aᶜ contains all elements of U that are not in A. Here, A contains the even numbers 2, 4, 6, and 8, while 9 belongs to U but not to A. Thus 9 ∈ Aᶜ. Statement B is false because 2 is in A, statement C is false because 4 is in A, and statement D incorrectly gives A instead of its complement.
Frequently asked questions
What is the correct answer to this question?
9 ∈ Aᶜ
Why is this the correct answer?
The complement Aᶜ contains all elements of U that are not in A. Here, A contains the even numbers 2, 4, 6, and 8, while 9 belongs to U but not to A. Thus 9 ∈ Aᶜ. Statement B is false because 2 is in A, statement C is false because 4 is in A, and statement D incorrectly gives A instead of its complement.
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.
Advertisement