If the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 3, 5, 7}, which of the following elements belongs to Aᶜ?
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Answer and explanation
Correct answer: 9
The complement Aᶜ contains every element of U that is not an element of A. The numbers 2, 3, 5, and 7 are already in A, so none of them belongs to Aᶜ. Since 9 is present in U but absent from A, it satisfies the definition of complement and therefore belongs to Aᶜ. Thus, option A is the only correct choice.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The complement Aᶜ contains every element of U that is not an element of A. The numbers 2, 3, 5, and 7 are already in A, so none of them belongs to Aᶜ. Since 9 is present in U but absent from A, it satisfies the definition of complement and therefore belongs to Aᶜ. Thus, option A is the only correct choice.
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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