If U = {10, 11, 12, 13, 14, 15} and A = {11, 13, 15}, what is the complement Aᶜ of A with respect to U?
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Answer and explanation
Correct answer: {10, 12, 14}
The complement of a set A, written as Aᶜ, consists of all elements in the universal set U that are not elements of A. Here, U contains 10, 11, 12, 13, 14, and 15, while A contains 11, 13, and 15. Removing the elements of A from U leaves 10, 12, and 14. Therefore, Aᶜ = {10, 12, 14}.
Frequently asked questions
What is the correct answer to this question?
{10, 12, 14}
Why is this the correct answer?
The complement of a set A, written as Aᶜ, consists of all elements in the universal set U that are not elements of A. Here, U contains 10, 11, 12, 13, 14, and 15, while A contains 11, 13, and 15. Removing the elements of A from U leaves 10, 12, and 14. Therefore, Aᶜ = {10, 12, 14}.
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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