If U = {a, b, c, d} and B = {a, d}, what is B′, the complement of B?
Answer and explanation
Correct answer: {b, c}
The complement of B is defined relative to the universal set U and contains every element of U that does not belong to B. Thus B′ = U − B. Removing a and d from U = {a, b, c, d} leaves b and c, so B′ = {b, c}. Option A is B itself, option C is the entire universal set, and option D incorrectly retains d, which belongs to B.
Frequently asked questions
What is the correct answer to this question?
{b, c}
Why is this the correct answer?
The complement of B is defined relative to the universal set U and contains every element of U that does not belong to B. Thus B′ = U − B. Removing a and d from U = {a, b, c, d} leaves b and c, so B′ = {b, c}. Option A is B itself, option C is the entire universal set, and option D incorrectly retains d, which belongs to B.
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.
