Let U = {1, 2, 3, 4, 5, 6, 7} and A = {2, 4, 6}. Which set B satisfies Bᶜ = A?
Advertisement
Answer and explanation
Correct answer: {1, 3, 5, 7}
The equation Bᶜ = A means that B must be the complement of A in the given universal set U. Remove the elements 2, 4, and 6 from U = {1, 2, 3, 4, 5, 6, 7}; the remaining elements are 1, 3, 5, and 7. Hence B = Aᶜ = {1, 3, 5, 7}, making option A correct. Option B is A itself, not its complement.
Frequently asked questions
What is the correct answer to this question?
{1, 3, 5, 7}
Why is this the correct answer?
The equation Bᶜ = A means that B must be the complement of A in the given universal set U. Remove the elements 2, 4, and 6 from U = {1, 2, 3, 4, 5, 6, 7}; the remaining elements are 1, 3, 5, and 7. Hence B = Aᶜ = {1, 3, 5, 7}, making option A correct. Option B is A itself, not its complement.
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.
Advertisement