If A ⊆ U and A' = U, which statement about A is correct?
Answer and explanation
Correct answer: A = ∅
The complement A' contains all elements of the universal set U that are not in A. If A' is equal to the entire universal set U, then every element of U must be outside A. Therefore, A contains no elements and must be the empty set: A = ∅. If A were U, its complement would be empty instead. Hence, option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = ∅
Why is this the correct answer?
The complement A' contains all elements of the universal set U that are not in A. If A' is equal to the entire universal set U, then every element of U must be outside A. Therefore, A contains no elements and must be the empty set: A = ∅. If A were U, its complement would be empty instead. Hence, option A is correct.
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.
