Which option gives the correct definition of Aᶜ?
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Answer and explanation
Correct answer: {x : x ∈ U and x ∉ A}
The complement of A is defined relative to a specified universal set U. It consists of exactly those elements that belong to U but do not belong to A. Therefore, in set-builder notation, Aᶜ = {x : x ∈ U and x ∉ A}. Option B states both required conditions and is correct.
Frequently asked questions
What is the correct answer to this question?
{x : x ∈ U and x ∉ A}
Why is this the correct answer?
The complement of A is defined relative to a specified universal set U. It consists of exactly those elements that belong to U but do not belong to A. Therefore, in set-builder notation, Aᶜ = {x : x ∈ U and x ∉ A}. Option B states both required conditions and 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.
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