If the universal set is U = {1,2,3,4,5} and A = {1,3}, what is Aᶜ?
Answer and explanation
Correct answer: {2,4,5}
The complement Aᶜ contains every element of the universal set U that is not present in A. Starting with U = {1,2,3,4,5}, remove the elements 1 and 3 because they belong to A. The remaining elements are 2, 4, and 5, so Aᶜ = {2,4,5}. Option B is A itself, option C is only a partial set, and option D would be correct only if A equalled U.
Frequently asked questions
What is the correct answer to this question?
{2,4,5}
Why is this the correct answer?
The complement Aᶜ contains every element of the universal set U that is not present in A. Starting with U = {1,2,3,4,5}, remove the elements 1 and 3 because they belong to A. The remaining elements are 2, 4, and 5, so Aᶜ = {2,4,5}. Option B is A itself, option C is only a partial set, and option D would be correct only if A equalled U.
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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