If U = {a, b, c, d} and B = {b, d}, find B′.
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Answer and explanation
Correct answer: B′ = {a, c}
The complement B′ consists of all elements in the universal set U that are not in B. From U = {a, b, c, d}, remove b and d, the elements of B. The remaining elements are a and c. Thus B′ = U \ B = {a, c}, so option A is the only correct answer. The complement depends on the specified universal set.
Frequently asked questions
What is the correct answer to this question?
B′ = {a, c}
Why is this the correct answer?
The complement B′ consists of all elements in the universal set U that are not in B. From U = {a, b, c, d}, remove b and d, the elements of B. The remaining elements are a and c. Thus B′ = U \ B = {a, c}, so option A is the only correct answer. The complement depends on the specified universal set.
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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