If U = {x : x ∈ Z, −3 ≤ x ≤ 3} and A = {−3,−1,1,3}, what is Aᶜ?
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Answer and explanation
Correct answer: {−2,0,2}
First list the integers in the stated universal set: U = {−3,−2,−1,0,1,2,3}. The complement Aᶜ contains exactly those members of U that are not in A. Since A contains −3, −1, 1, and 3, the remaining elements are −2, 0, and 2. Therefore Aᶜ = {−2,0,2}, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
{−2,0,2}
Why is this the correct answer?
First list the integers in the stated universal set: U = {−3,−2,−1,0,1,2,3}. The complement Aᶜ contains exactly those members of U that are not in A. Since A contains −3, −1, 1, and 3, the remaining elements are −2, 0, and 2. Therefore Aᶜ = {−2,0,2}, so 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.
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