If U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A \ Aᶜ?
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Answer and explanation
Correct answer: {1, 2}
The complement of A with respect to U is Aᶜ = {3, 4, 5}. The difference A \ Aᶜ contains elements that belong to A but do not belong to Aᶜ. Since A and Aᶜ are disjoint, every element of A remains in the difference. Therefore, A \ Aᶜ = A = {1, 2}.
Frequently asked questions
What is the correct answer to this question?
{1, 2}
Why is this the correct answer?
The complement of A with respect to U is Aᶜ = {3, 4, 5}. The difference A \ Aᶜ contains elements that belong to A but do not belong to Aᶜ. Since A and Aᶜ are disjoint, every element of A remains in the difference. Therefore, A \ Aᶜ = A = {1, 2}.
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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