If U = {x : x ∈ ℕ, x ≤ 8} and A = {1, 3, 5, 7}, what is Aᶜ?
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Answer and explanation
Correct answer: {2, 4, 6, 8}
Because the natural numbers here are taken up to 8, the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8}. Removing the elements of A, namely 1, 3, 5, and 7, leaves {2, 4, 6, 8}. Thus Aᶜ = {2, 4, 6, 8}. Option B is A itself, while options C and D contain elements of A or omit required elements.
Frequently asked questions
What is the correct answer to this question?
{2, 4, 6, 8}
Why is this the correct answer?
Because the natural numbers here are taken up to 8, the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8}. Removing the elements of A, namely 1, 3, 5, and 7, leaves {2, 4, 6, 8}. Thus Aᶜ = {2, 4, 6, 8}. Option B is A itself, while options C and D contain elements of A or omit required elements.
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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