If U = {1, 2, 3, 4}, A = {1, 4}, and B = A', what is B?
Answer and explanation
Correct answer: {2, 3}
Since B = A', we need the complement of A in the universal set U. The complement contains elements of U that are not in A. From U = {1,2,3,4}, remove the elements 1 and 4 belonging to A. The remaining elements are 2 and 3, so B = A' = {2,3}. Option A is A itself, while options C and D contain one element of A and therefore cannot be the complete complement. Thus option B is correct.
Frequently asked questions
What is the correct answer to this question?
{2, 3}
Why is this the correct answer?
Since B = A', we need the complement of A in the universal set U. The complement contains elements of U that are not in A. From U = {1,2,3,4}, remove the elements 1 and 4 belonging to A. The remaining elements are 2 and 3, so B = A' = {2,3}. Option A is A itself, while options C and D contain one element of A and therefore cannot be the complete complement. Thus option B is correct.
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.
