If U = {a, b, c, d, e} and B = {b, e}, which element does not belong to the complement B′?
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Answer and explanation
Correct answer: b
The complement B′ contains all elements of the universal set U that are not elements of B. Removing b and e from U gives B′ = {a, c, d}. Therefore, b does not belong to B′ because it already belongs to B. The other listed elements, a, c, and d, are in U but not in B, so they belong to B′.
Frequently asked questions
What is the correct answer to this question?
b
Why is this the correct answer?
The complement B′ contains all elements of the universal set U that are not elements of B. Removing b and e from U gives B′ = {a, c, d}. Therefore, b does not belong to B′ because it already belongs to B. The other listed elements, a, c, and d, are in U but not in B, so they belong 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.
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