If U = {0, 1, 2, 3, 4, 5, 6} and A = {0, 3, 6}, what is the complement Aᶜ of A with respect to U?
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Answer and explanation
Correct answer: {1, 2, 4, 5}
The complement Aᶜ contains elements that are in U but absent from A. Starting with U = {0, 1, 2, 3, 4, 5, 6}, remove 0, 3, and 6 because they belong to A. The elements left are 1, 2, 4, and 5. Therefore Aᶜ = {1, 2, 4, 5}, so option A is the only correct answer.
Frequently asked questions
What is the correct answer to this question?
{1, 2, 4, 5}
Why is this the correct answer?
The complement Aᶜ contains elements that are in U but absent from A. Starting with U = {0, 1, 2, 3, 4, 5, 6}, remove 0, 3, and 6 because they belong to A. The elements left are 1, 2, 4, and 5. Therefore Aᶜ = {1, 2, 4, 5}, so option A is the only correct answer.
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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